TSTP Solution File: GRP130-2.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP130-2.003 : 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 : n018.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 05:46:17 EDT 2024
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 35
% Syntax : Number of formulae : 152 ( 14 unt; 0 def)
% Number of atoms : 453 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 542 ( 241 ~; 282 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 20 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f788,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f45,f76,f157,f187,f227,f245,f270,f276,f294,f300,f305,f318,f346,f393,f431,f492,f498,f537,f538,f559,f562,f585,f689,f690,f691,f693,f695,f705,f745,f787]) ).
fof(f787,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f785,f495,f742]) ).
fof(f742,plain,
( spl0_42
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f495,plain,
( spl0_38
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f785,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl0_38 ),
inference(resolution,[],[f722,f10]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_1_is_not_e_2) ).
fof(f722,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_3,X0,e_3) )
| ~ spl0_38 ),
inference(resolution,[],[f497,f18]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X4,X1)
| equalish(X3,X4)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',product_right_cancellation) ).
fof(f497,plain,
( product(e_3,e_2,e_3)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f745,plain,
( spl0_18
| spl0_42
| ~ spl0_3
| ~ spl0_7
| spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f736,f403,f154,f68,f37,f742,f146]) ).
fof(f146,plain,
( spl0_18
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f37,plain,
( spl0_3
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f68,plain,
( spl0_7
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f154,plain,
( spl0_20
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f403,plain,
( spl0_31
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f736,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_2)
| ~ spl0_31 ),
inference(resolution,[],[f405,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(e_3,X2,X0)
| product(X0,X1,e_2) ),
inference(resolution,[],[f16,f20]) ).
fof(f20,axiom,
! [X0,X1,X6,X5] :
( ~ product(X0,X5,X6)
| product(X6,X1,X0)
| ~ product(X0,X1,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',qg3) ).
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.bR8VrAVRPv/Vampire---4.8_27733',product_total_function1) ).
fof(f405,plain,
( product(e_3,e_1,e_2)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f705,plain,
( spl0_31
| spl0_19
| ~ spl0_3
| ~ spl0_1
| spl0_33
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f699,f84,f437,f27,f37,f150,f403]) ).
fof(f150,plain,
( spl0_19
<=> product(e_3,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f27,plain,
( spl0_1
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f437,plain,
( spl0_33
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f84,plain,
( spl0_9
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f699,plain,
( product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[],[f86,f24]) ).
fof(f86,plain,
( product(e_3,e_3,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f695,plain,
( ~ spl0_23
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f613,f99,f238]) ).
fof(f238,plain,
( spl0_23
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f99,plain,
( spl0_13
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f613,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(resolution,[],[f589,f13]) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_2_is_not_e_3) ).
fof(f589,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_2,X0,e_2) )
| ~ spl0_13 ),
inference(resolution,[],[f101,f18]) ).
fof(f101,plain,
( product(e_2,e_3,e_2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f693,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_20
| spl0_18
| spl0_38 ),
inference(avatar_split_clause,[],[f547,f495,f146,f154,f68,f37]) ).
fof(f547,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| spl0_38 ),
inference(resolution,[],[f496,f16]) ).
fof(f496,plain,
( ~ product(e_3,e_2,e_3)
| spl0_38 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f691,plain,
( ~ spl0_9
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f670,f437,f84]) ).
fof(f670,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl0_33 ),
inference(resolution,[],[f625,f14]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_3_is_not_e_1) ).
fof(f625,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_3,X0,e_1) )
| ~ spl0_33 ),
inference(resolution,[],[f439,f18]) ).
fof(f439,plain,
( product(e_3,e_1,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f690,plain,
( spl0_23
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f682,f146,f99,f238]) ).
fof(f682,plain,
( product(e_2,e_2,e_2)
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f680,f591]) ).
fof(f591,plain,
( ! [X0] :
( ~ product(e_2,X0,e_3)
| product(e_2,X0,e_2) )
| ~ spl0_13 ),
inference(resolution,[],[f101,f20]) ).
fof(f680,plain,
( product(e_2,e_2,e_3)
| ~ spl0_18 ),
inference(resolution,[],[f544,f148]) ).
fof(f148,plain,
( product(e_3,e_2,e_2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f544,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f20]) ).
fof(f689,plain,
( ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f680,f636]) ).
fof(f636,plain,
( ~ product(e_2,e_2,e_3)
| ~ spl0_24 ),
inference(resolution,[],[f574,f14]) ).
fof(f574,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_2,e_2,X0) )
| ~ spl0_24 ),
inference(resolution,[],[f244,f17]) ).
fof(f17,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X1,X4)
| equalish(X3,X4)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',product_total_function2) ).
fof(f244,plain,
( product(e_2,e_2,e_1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_24
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f585,plain,
( ~ spl0_7
| spl0_13
| spl0_14
| ~ spl0_3
| ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f348,f88,f41,f37,f103,f99,f68]) ).
fof(f103,plain,
( spl0_14
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f41,plain,
( spl0_4
<=> ! [X0,X1] :
( product(X0,e_3,e_1)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,e_3,e_2)
| product(e_3,X1,X0)
| ~ group_element(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f88,plain,
( spl0_10
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f348,plain,
( ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ group_element(e_2)
| ~ spl0_4
| spl0_10 ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f347,plain,
( ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_2)
| ~ spl0_4
| spl0_10 ),
inference(resolution,[],[f89,f42]) ).
fof(f42,plain,
( ! [X0,X1] :
( product(e_3,X1,X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f89,plain,
( ~ product(e_3,e_3,e_2)
| spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f562,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f560,f146,f390]) ).
fof(f390,plain,
( spl0_30
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f560,plain,
( ~ product(e_1,e_2,e_2)
| ~ spl0_18 ),
inference(resolution,[],[f541,f11]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_1_is_not_e_3) ).
fof(f541,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(X0,e_2,e_2) )
| ~ spl0_18 ),
inference(resolution,[],[f148,f19]) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product(X4,X1,X0)
| equalish(X3,X4)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',product_left_cancellation) ).
fof(f559,plain,
( ~ spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f557,f238,f146]) ).
fof(f557,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_23 ),
inference(resolution,[],[f514,f15]) ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_3_is_not_e_2) ).
fof(f514,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(X0,e_2,e_2) )
| ~ spl0_23 ),
inference(resolution,[],[f240,f19]) ).
fof(f240,plain,
( product(e_2,e_2,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f538,plain,
( ~ spl0_38
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f362,f150,f495]) ).
fof(f362,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_19 ),
inference(resolution,[],[f352,f13]) ).
fof(f352,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_3,X0,e_3) )
| ~ spl0_19 ),
inference(resolution,[],[f152,f18]) ).
fof(f152,plain,
( product(e_3,e_3,e_3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f537,plain,
( ~ spl0_20
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl0_20
| ~ spl0_33 ),
inference(resolution,[],[f439,f306]) ).
fof(f306,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_20 ),
inference(resolution,[],[f287,f10]) ).
fof(f287,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_3,X0,e_1) )
| ~ spl0_20 ),
inference(resolution,[],[f156,f18]) ).
fof(f156,plain,
( product(e_3,e_2,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f498,plain,
( spl0_31
| spl0_38
| ~ spl0_3
| ~ spl0_1
| spl0_33
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f285,f154,f437,f27,f37,f495,f403]) ).
fof(f285,plain,
( product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f156,f24]) ).
fof(f492,plain,
( ~ spl0_20
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f490,f5]) ).
fof(f5,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_3_greater_e_2) ).
fof(f490,plain,
( ~ greater(e_3,e_2)
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f422,f1]) ).
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',e_1_then_e_2) ).
fof(f422,plain,
( ! [X0] :
( ~ next(e_1,X0)
| ~ greater(e_3,X0) )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f414,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',no_redundancy) ).
fof(f414,plain,
( product(e_1,e_1,e_3)
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f405,f289]) ).
fof(f289,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) )
| ~ spl0_20 ),
inference(resolution,[],[f156,f20]) ).
fof(f431,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f29,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',element_1) ).
fof(f29,plain,
( ~ group_element(e_1)
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f393,plain,
( spl0_23
| spl0_24
| spl0_30
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f374,f316,f390,f242,f238]) ).
fof(f316,plain,
( spl0_25
<=> ! [X0] :
( product(e_1,X0,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f374,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ spl0_25 ),
inference(resolution,[],[f317,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',element_2) ).
fof(f317,plain,
( ! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f346,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f344,f154,f88,f84]) ).
fof(f344,plain,
( product(e_3,e_3,e_1)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f332,f326]) ).
fof(f326,plain,
( product(e_1,e_3,e_3)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f289,f90]) ).
fof(f90,plain,
( product(e_3,e_3,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f332,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) )
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f326,f20]) ).
fof(f318,plain,
( ~ spl0_7
| spl0_25
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f314,f103,f316,f68]) ).
fof(f314,plain,
( ! [X0] :
( product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_2) )
| ~ spl0_14 ),
inference(resolution,[],[f251,f16]) ).
fof(f251,plain,
( ! [X0] :
( ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) )
| ~ spl0_14 ),
inference(resolution,[],[f105,f20]) ).
fof(f105,plain,
( product(e_2,e_3,e_1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f305,plain,
( ~ spl0_24
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f304,f154,f242]) ).
fof(f304,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl0_20 ),
inference(resolution,[],[f286,f13]) ).
fof(f286,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(X0,e_2,e_1) )
| ~ spl0_20 ),
inference(resolution,[],[f156,f19]) ).
fof(f300,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f298,f88,f84]) ).
fof(f298,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl0_10 ),
inference(resolution,[],[f281,f10]) ).
fof(f281,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_3,e_3,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f90,f17]) ).
fof(f294,plain,
( ~ spl0_18
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f293,f88,f146]) ).
fof(f293,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_10 ),
inference(resolution,[],[f280,f13]) ).
fof(f280,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_3,X0,e_2) )
| ~ spl0_10 ),
inference(resolution,[],[f90,f18]) ).
fof(f276,plain,
( ~ spl0_3
| spl0_9
| spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f273,f150,f88,f84,f37]) ).
fof(f273,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3)
| spl0_19 ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f272,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_3)
| spl0_19 ),
inference(resolution,[],[f151,f16]) ).
fof(f151,plain,
( ~ product(e_3,e_3,e_3)
| spl0_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f270,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_20
| spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f268,f150,f146,f154,f68,f37]) ).
fof(f268,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_19 ),
inference(resolution,[],[f264,f16]) ).
fof(f264,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_19 ),
inference(resolution,[],[f198,f13]) ).
fof(f198,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_3,X0,e_3) )
| ~ spl0_19 ),
inference(resolution,[],[f152,f18]) ).
fof(f245,plain,
( spl0_23
| spl0_10
| ~ spl0_7
| spl0_24
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f235,f99,f242,f68,f88,f238]) ).
fof(f235,plain,
( product(e_2,e_2,e_1)
| ~ group_element(e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f230,plain,
( product(e_2,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(resolution,[],[f101,f24]) ).
fof(f227,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f222,f15]) ).
fof(f222,plain,
( equalish(e_3,e_2)
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f190,f86]) ).
fof(f190,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_2) )
| ~ spl0_14 ),
inference(resolution,[],[f105,f19]) ).
fof(f187,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f177,f13]) ).
fof(f177,plain,
( equalish(e_2,e_3)
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f101,f140]) ).
fof(f140,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_3) )
| ~ spl0_10 ),
inference(resolution,[],[f90,f19]) ).
fof(f157,plain,
( spl0_18
| spl0_19
| ~ spl0_3
| ~ spl0_7
| spl0_20
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f139,f88,f154,f68,f37,f150,f146]) ).
fof(f139,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_10 ),
inference(resolution,[],[f90,f24]) ).
fof(f76,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f70,f8]) ).
fof(f70,plain,
( ~ group_element(e_2)
| spl0_7 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f45,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f39,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.bR8VrAVRPv/Vampire---4.8_27733',element_3) ).
fof(f39,plain,
( ~ group_element(e_3)
| spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f43,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f35,plain,
! [X0,X1] :
( product(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0)
| product(e_3,X1,X0)
| product(X0,e_3,e_2)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( product(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0)
| product(e_3,X1,X0)
| product(X0,e_3,e_2)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(resolution,[],[f24,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.11 % 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
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 20:38:23 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.11/0.31 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.bR8VrAVRPv/Vampire---4.8_27733
% 0.60/0.78 % (27847)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 (2995ds/34Mi)
% 0.60/0.78 % (27844)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 (2995ds/51Mi)
% 0.60/0.78 % (27846)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78 % (27848)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78 % (27845)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (27843)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 (2995ds/34Mi)
% 0.60/0.78 % (27849)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 (2995ds/83Mi)
% 0.60/0.78 % (27850)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 (2995ds/56Mi)
% 0.60/0.78 % (27850)Refutation not found, incomplete strategy% (27850)------------------------------
% 0.60/0.78 % (27850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (27846)Refutation not found, incomplete strategy% (27846)------------------------------
% 0.60/0.78 % (27846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (27850)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (27850)Memory used [KB]: 949
% 0.60/0.78 % (27850)Time elapsed: 0.002 s
% 0.60/0.78 % (27850)Instructions burned: 2 (million)
% 0.60/0.78 % (27846)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (27846)Memory used [KB]: 949
% 0.60/0.78 % (27846)Time elapsed: 0.003 s
% 0.60/0.78 % (27846)Instructions burned: 2 (million)
% 0.60/0.78 % (27850)------------------------------
% 0.60/0.78 % (27850)------------------------------
% 0.60/0.78 % (27846)------------------------------
% 0.60/0.78 % (27846)------------------------------
% 0.60/0.78 % (27843)Refutation not found, incomplete strategy% (27843)------------------------------
% 0.60/0.78 % (27843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (27843)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (27843)Memory used [KB]: 949
% 0.60/0.78 % (27843)Time elapsed: 0.003 s
% 0.60/0.78 % (27843)Instructions burned: 2 (million)
% 0.60/0.78 % (27843)------------------------------
% 0.60/0.78 % (27843)------------------------------
% 0.60/0.79 % (27851)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 (2995ds/55Mi)
% 0.60/0.79 % (27852)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 (2995ds/50Mi)
% 0.60/0.79 % (27851)Refutation not found, incomplete strategy% (27851)------------------------------
% 0.60/0.79 % (27851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (27851)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (27851)Memory used [KB]: 965
% 0.60/0.79 % (27851)Time elapsed: 0.002 s
% 0.60/0.79 % (27851)Instructions burned: 2 (million)
% 0.60/0.79 % (27853)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 (2995ds/208Mi)
% 0.60/0.79 % (27851)------------------------------
% 0.60/0.79 % (27851)------------------------------
% 0.60/0.79 % (27853)Refutation not found, incomplete strategy% (27853)------------------------------
% 0.60/0.79 % (27853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (27853)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (27853)Memory used [KB]: 949
% 0.60/0.79 % (27853)Time elapsed: 0.002 s
% 0.60/0.79 % (27853)Instructions burned: 2 (million)
% 0.60/0.79 % (27853)------------------------------
% 0.60/0.79 % (27853)------------------------------
% 0.60/0.79 % (27854)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 (2995ds/52Mi)
% 0.60/0.79 % (27855)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 (2995ds/518Mi)
% 0.60/0.79 % (27844)First to succeed.
% 0.60/0.80 % (27847)Instruction limit reached!
% 0.60/0.80 % (27847)------------------------------
% 0.60/0.80 % (27847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (27847)Termination reason: Unknown
% 0.60/0.80 % (27847)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (27847)Memory used [KB]: 1184
% 0.60/0.80 % (27847)Time elapsed: 0.016 s
% 0.60/0.80 % (27847)Instructions burned: 34 (million)
% 0.60/0.80 % (27847)------------------------------
% 0.60/0.80 % (27847)------------------------------
% 0.60/0.80 % (27844)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27840"
% 0.60/0.80 % (27849)Also succeeded, but the first one will report.
% 0.60/0.80 % (27844)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (27844)------------------------------
% 0.60/0.80 % (27844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (27844)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (27844)Memory used [KB]: 1218
% 0.60/0.80 % (27844)Time elapsed: 0.016 s
% 0.60/0.80 % (27844)Instructions burned: 25 (million)
% 0.60/0.80 % (27840)Success in time 0.478 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------