TSTP Solution File: GRP129-1.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP129-1.003 : 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/sandbox/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 05:46:14 EDT 2024
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 159 ( 10 unt; 0 def)
% Number of atoms : 485 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 535 ( 209 ~; 308 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 19 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f763,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f37,f45,f74,f79,f117,f118,f131,f161,f162,f277,f303,f330,f334,f341,f343,f393,f397,f399,f402,f406,f433,f481,f519,f610,f611,f617,f618,f621,f719,f721,f722,f725,f737,f762]) ).
fof(f762,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f756,f276]) ).
fof(f276,plain,
( product(e_1,e_3,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl0_16
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f756,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_1
| spl0_9 ),
inference(unit_resulting_resolution,[],[f125,f25,f14]) ).
fof(f14,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X4)
| ~ product(X0,X4,X5)
| product(X4,X1,X5) ),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',qg3) ).
fof(f25,plain,
( product(e_3,e_1,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl0_1
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f125,plain,
( ~ product(e_3,e_3,e_1)
| spl0_9 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_9
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f737,plain,
( spl0_16
| spl0_10
| ~ spl0_2
| spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f736,f270,f124,f27,f128,f274]) ).
fof(f128,plain,
( spl0_10
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f27,plain,
( spl0_2
<=> ! [X0] :
( product(e_1,X0,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| ~ group_element(X0)
| product(e_1,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f270,plain,
( spl0_15
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f736,plain,
( product(e_3,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ spl0_2
| spl0_9
| spl0_15 ),
inference(subsumption_resolution,[],[f726,f271]) ).
fof(f271,plain,
( ~ product(e_1,e_3,e_2)
| spl0_15 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f726,plain,
( product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ spl0_2
| spl0_9 ),
inference(subsumption_resolution,[],[f623,f125]) ).
fof(f623,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f28,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',element_3) ).
fof(f28,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f725,plain,
( spl0_15
| spl0_16
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f724,f169,f89,f43,f274,f270]) ).
fof(f43,plain,
( spl0_6
<=> ! [X0] :
( product(e_2,X0,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f89,plain,
( spl0_8
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f169,plain,
( spl0_11
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f724,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f723,f669]) ).
fof(f669,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,e_3,X0) )
| ~ spl0_11 ),
inference(resolution,[],[f171,f14]) ).
fof(f171,plain,
( product(e_3,e_2,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f723,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f679,f643]) ).
fof(f643,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f7,f91,f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| ~ product(X3,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',product_left_cancellation) ).
fof(f91,plain,
( product(e_3,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_2_is_not_e_3) ).
fof(f679,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f44,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',element_1) ).
fof(f44,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f722,plain,
( ~ spl0_16
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f646,f266,f89,f274]) ).
fof(f266,plain,
( spl0_14
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f646,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_8
| spl0_14 ),
inference(unit_resulting_resolution,[],[f267,f91,f14]) ).
fof(f267,plain,
( ~ product(e_1,e_1,e_2)
| spl0_14 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f721,plain,
( ~ spl0_16
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f689,f270,f274]) ).
fof(f689,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_15 ),
inference(unit_resulting_resolution,[],[f4,f272,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',product_total_function2) ).
fof(f272,plain,
( product(e_1,e_3,e_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_1_is_not_e_2) ).
fof(f719,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| spl0_16 ),
inference(subsumption_resolution,[],[f717,f703]) ).
fof(f703,plain,
( product(e_2,e_1,e_1)
| ~ spl0_11
| ~ spl0_15 ),
inference(unit_resulting_resolution,[],[f171,f272,f14]) ).
fof(f717,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl0_11
| spl0_16 ),
inference(unit_resulting_resolution,[],[f171,f275,f14]) ).
fof(f275,plain,
( ~ product(e_1,e_3,e_1)
| spl0_16 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f621,plain,
( spl0_11
| spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f620,f39,f173,f169]) ).
fof(f173,plain,
( spl0_12
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f39,plain,
( spl0_5
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f620,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| spl0_5 ),
inference(subsumption_resolution,[],[f619,f3]) ).
fof(f619,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| spl0_5 ),
inference(subsumption_resolution,[],[f549,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',element_2) ).
fof(f549,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(resolution,[],[f40,f10]) ).
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/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',product_total_function1) ).
fof(f40,plain,
( ~ product(e_3,e_2,e_3)
| spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f618,plain,
( ~ spl0_16
| ~ spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f583,f262,f85,f274]) ).
fof(f85,plain,
( spl0_7
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f262,plain,
( spl0_13
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f583,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_7
| spl0_13 ),
inference(unit_resulting_resolution,[],[f87,f263,f14]) ).
fof(f263,plain,
( ~ product(e_1,e_1,e_1)
| spl0_13 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f87,plain,
( product(e_3,e_1,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f617,plain,
( ~ spl0_15
| spl0_8
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f613,f266,f262,f89,f270]) ).
fof(f613,plain,
( ~ product(e_1,e_3,e_2)
| spl0_8
| spl0_13
| spl0_14 ),
inference(unit_resulting_resolution,[],[f1,f1,f90,f263,f267,f15]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ product(X0,e_3,X1)
| product(e_3,X2,X1)
| product(X2,X0,e_2)
| product(X2,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X2) ),
inference(resolution,[],[f14,f10]) ).
fof(f90,plain,
( ~ product(e_3,e_1,e_2)
| spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f611,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f602,f266,f85,f270]) ).
fof(f602,plain,
( product(e_1,e_3,e_2)
| ~ spl0_7
| ~ spl0_14 ),
inference(unit_resulting_resolution,[],[f87,f268,f14]) ).
fof(f268,plain,
( product(e_1,e_1,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f610,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f593,f266,f270]) ).
fof(f593,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_14 ),
inference(unit_resulting_resolution,[],[f8,f268,f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| ~ product(X0,X3,X1)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',product_right_cancellation) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_3_is_not_e_1) ).
fof(f519,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f509,f511]) ).
fof(f511,plain,
( product(e_2,e_3,e_3)
| ~ spl0_5
| ~ spl0_10 ),
inference(unit_resulting_resolution,[],[f130,f41,f14]) ).
fof(f41,plain,
( product(e_3,e_2,e_3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f130,plain,
( product(e_3,e_3,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f509,plain,
( ~ product(e_2,e_3,e_3)
| spl0_3
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f32,f41,f14]) ).
fof(f32,plain,
( ~ product(e_3,e_3,e_3)
| spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_3
<=> product(e_3,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f481,plain,
( ~ spl0_15
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f452,f128,f270]) ).
fof(f452,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_10 ),
inference(unit_resulting_resolution,[],[f5,f130,f13]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_1_is_not_e_3) ).
fof(f433,plain,
( ~ spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f423,f85,f262]) ).
fof(f423,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f8,f87,f13]) ).
fof(f406,plain,
( spl0_10
| ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f405,f124,f35,f128]) ).
fof(f35,plain,
( spl0_4
<=> ! [X0] :
( product(e_3,X0,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| ~ group_element(X0)
| product(e_3,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f405,plain,
( product(e_3,e_3,e_2)
| ~ spl0_4
| spl0_9 ),
inference(subsumption_resolution,[],[f300,f125]) ).
fof(f300,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f36,f3]) ).
fof(f36,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f402,plain,
( spl0_7
| spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f401,f23,f89,f85]) ).
fof(f401,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| spl0_1 ),
inference(subsumption_resolution,[],[f400,f3]) ).
fof(f400,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3)
| spl0_1 ),
inference(subsumption_resolution,[],[f345,f1]) ).
fof(f345,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| spl0_1 ),
inference(resolution,[],[f24,f10]) ).
fof(f24,plain,
( ~ product(e_3,e_1,e_3)
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f399,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f379,f89,f173]) ).
fof(f379,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f6,f91,f12]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_2_is_not_e_1) ).
fof(f397,plain,
( ~ spl0_5
| spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl0_5
| spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f395,f289]) ).
fof(f289,plain,
( product(e_2,e_3,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl0_19
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f395,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_5
| spl0_10 ),
inference(unit_resulting_resolution,[],[f41,f129,f14]) ).
fof(f129,plain,
( ~ product(e_3,e_3,e_2)
| spl0_10 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f393,plain,
( ~ spl0_14
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f382,f89,f266]) ).
fof(f382,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f8,f91,f13]) ).
fof(f343,plain,
( spl0_11
| spl0_19
| spl0_20
| ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f342,f173,f35,f291,f287,f169]) ).
fof(f291,plain,
( spl0_20
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f342,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_4
| spl0_12 ),
inference(subsumption_resolution,[],[f299,f174]) ).
fof(f174,plain,
( ~ product(e_3,e_2,e_2)
| spl0_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f299,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f36,f2]) ).
fof(f341,plain,
( ~ spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f313,f124,f169]) ).
fof(f313,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f7,f126,f12]) ).
fof(f126,plain,
( product(e_3,e_3,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f334,plain,
( ~ spl0_20
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f316,f124,f291]) ).
fof(f316,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f9,f126,f13]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143',e_3_is_not_e_2) ).
fof(f330,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f322,f252]) ).
fof(f252,plain,
( ~ product(e_1,e_3,e_3)
| ~ spl0_1
| spl0_3 ),
inference(unit_resulting_resolution,[],[f32,f25,f14]) ).
fof(f322,plain,
( product(e_1,e_3,e_3)
| ~ spl0_1
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f25,f126,f14]) ).
fof(f303,plain,
( spl0_15
| spl0_16
| ~ spl0_4
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f302,f89,f85,f35,f274,f270]) ).
fof(f302,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ spl0_4
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f301,f86]) ).
fof(f86,plain,
( ~ product(e_3,e_1,e_1)
| spl0_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f301,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ spl0_4
| spl0_8 ),
inference(subsumption_resolution,[],[f297,f90]) ).
fof(f297,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f36,f1]) ).
fof(f277,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f258,f27,f274,f270,f266,f262]) ).
fof(f258,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f28,f1]) ).
fof(f162,plain,
( ~ spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f133,f31,f128]) ).
fof(f133,plain,
( ~ product(e_3,e_3,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f9,f33,f11]) ).
fof(f33,plain,
( product(e_3,e_3,e_3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f161,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f134,f31,f124]) ).
fof(f134,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f8,f33,f11]) ).
fof(f131,plain,
( spl0_9
| spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f122,f31,f128,f124]) ).
fof(f122,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| spl0_3 ),
inference(subsumption_resolution,[],[f121,f3]) ).
fof(f121,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3)
| spl0_3 ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_3)
| spl0_3 ),
inference(resolution,[],[f32,f10]) ).
fof(f118,plain,
( ~ spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f93,f23,f89]) ).
fof(f93,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f9,f25,f11]) ).
fof(f117,plain,
( ~ spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f94,f23,f85]) ).
fof(f94,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f8,f25,f11]) ).
fof(f79,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f55,f31,f39]) ).
fof(f55,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f7,f33,f12]) ).
fof(f74,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f53,f31,f23]) ).
fof(f53,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f8,f33,f12]) ).
fof(f45,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f43,f39]) ).
fof(f21,plain,
! [X0] :
( product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_2,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f18,f2]) ).
fof(f18,plain,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| product(e_3,X0,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1) ),
inference(subsumption_resolution,[],[f17,f3]) ).
fof(f17,plain,
! [X0,X1] :
( product(e_3,X0,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(e_3) ),
inference(duplicate_literal_removal,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( product(e_3,X0,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X1) ),
inference(resolution,[],[f15,f10]) ).
fof(f37,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f35,f31]) ).
fof(f20,plain,
! [X0] :
( product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f18,f3]) ).
fof(f29,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f27,f23]) ).
fof(f19,plain,
! [X0] :
( product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_1,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f18,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.13 % 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
% 0.12/0.34 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:51:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DrjdjNHwQl/Vampire---4.8_23143
% 0.54/0.73 % (23251)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)
% 0.54/0.73 % (23254)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)
% 0.54/0.73 % (23252)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)
% 0.54/0.73 % (23253)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73 % (23255)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)
% 0.54/0.73 % (23256)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)
% 0.54/0.73 % (23258)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)
% 0.54/0.73 % (23257)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)
% 0.54/0.73 % (23251)Refutation not found, incomplete strategy% (23251)------------------------------
% 0.54/0.73 % (23251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23251)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23251)Memory used [KB]: 947
% 0.54/0.73 % (23251)Time elapsed: 0.002 s
% 0.54/0.73 % (23251)Instructions burned: 2 (million)
% 0.54/0.73 % (23254)Refutation not found, incomplete strategy% (23254)------------------------------
% 0.54/0.73 % (23254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23254)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23254)Memory used [KB]: 947
% 0.54/0.73 % (23254)Time elapsed: 0.002 s
% 0.54/0.73 % (23254)Instructions burned: 2 (million)
% 0.54/0.73 % (23258)Refutation not found, incomplete strategy% (23258)------------------------------
% 0.54/0.73 % (23258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23256)Refutation not found, incomplete strategy% (23256)------------------------------
% 0.54/0.73 % (23256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23256)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23256)Memory used [KB]: 946
% 0.54/0.73 % (23256)Time elapsed: 0.002 s
% 0.54/0.73 % (23256)Instructions burned: 2 (million)
% 0.54/0.73 % (23258)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23251)------------------------------
% 0.54/0.73 % (23251)------------------------------
% 0.54/0.73 % (23258)Memory used [KB]: 946
% 0.54/0.73 % (23258)Time elapsed: 0.002 s
% 0.54/0.73 % (23258)Instructions burned: 2 (million)
% 0.54/0.73 % (23254)------------------------------
% 0.54/0.73 % (23254)------------------------------
% 0.54/0.73 % (23256)------------------------------
% 0.54/0.73 % (23256)------------------------------
% 0.54/0.73 % (23258)------------------------------
% 0.54/0.73 % (23258)------------------------------
% 0.54/0.73 % (23259)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)
% 0.54/0.73 % (23259)Refutation not found, incomplete strategy% (23259)------------------------------
% 0.54/0.73 % (23259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23259)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23259)Memory used [KB]: 962
% 0.54/0.73 % (23259)Time elapsed: 0.001 s
% 0.54/0.73 % (23259)Instructions burned: 2 (million)
% 0.54/0.73 % (23261)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)
% 0.54/0.73 % (23260)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)
% 0.54/0.73 % (23259)------------------------------
% 0.54/0.73 % (23259)------------------------------
% 0.54/0.73 % (23261)Refutation not found, incomplete strategy% (23261)------------------------------
% 0.54/0.73 % (23261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73 % (23261)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73
% 0.54/0.73 % (23261)Memory used [KB]: 946
% 0.54/0.73 % (23261)Time elapsed: 0.002 s
% 0.54/0.73 % (23261)Instructions burned: 2 (million)
% 0.54/0.73 % (23261)------------------------------
% 0.54/0.73 % (23261)------------------------------
% 0.54/0.74 % (23262)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)
% 0.54/0.74 % (23263)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)
% 0.54/0.74 % (23257)First to succeed.
% 0.54/0.74 % (23264)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)
% 0.54/0.74 % (23257)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23250"
% 0.54/0.74 % (23257)Refutation found. Thanks to Tanya!
% 0.54/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74 % (23257)------------------------------
% 0.54/0.74 % (23257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (23257)Termination reason: Refutation
% 0.54/0.74
% 0.54/0.74 % (23257)Memory used [KB]: 1167
% 0.54/0.74 % (23257)Time elapsed: 0.014 s
% 0.54/0.74 % (23257)Instructions burned: 25 (million)
% 0.54/0.74 % (23250)Success in time 0.386 s
% 0.54/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------