TSTP Solution File: GRP133-2.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP133-2.003 : TPTP v8.2.0. 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 : n002.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 : Mon May 20 21:07:00 EDT 2024
% Result : Unsatisfiable 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 38
% Syntax : Number of formulae : 160 ( 13 unt; 0 def)
% Number of atoms : 477 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 561 ( 244 ~; 293 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 25 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f660,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f110,f127,f152,f154,f168,f283,f287,f288,f326,f327,f328,f338,f355,f356,f357,f404,f405,f410,f468,f504,f512,f513,f534,f535,f542,f561,f562,f564,f578,f595,f631,f633,f650,f657,f658,f659]) ).
fof(f659,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f533,f43,f121]) ).
fof(f121,plain,
( spl0_13
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f43,plain,
( spl0_3
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f533,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f515,f13]) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f515,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(X0,e_3,e_2) )
| ~ spl0_3 ),
inference(resolution,[],[f45,f19]) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product(X4,X1,X0)
| equalish(X3,X4)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f45,plain,
( product(e_3,e_3,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f658,plain,
( ~ spl0_29
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f648,f452,f253]) ).
fof(f253,plain,
( spl0_29
<=> product(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f452,plain,
( spl0_33
<=> product(e_2,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f648,plain,
( ~ product(e_2,e_2,e_3)
| ~ spl0_33 ),
inference(resolution,[],[f637,f13]) ).
fof(f637,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_2,X0,e_3) )
| ~ spl0_33 ),
inference(resolution,[],[f454,f18]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X4,X1)
| equalish(X3,X4)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f454,plain,
( product(e_2,e_3,e_3)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f657,plain,
( spl0_17
| spl0_25
| ~ spl0_1
| ~ spl0_12
| spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f652,f140,f132,f107,f27,f214,f136]) ).
fof(f136,plain,
( spl0_17
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f214,plain,
( spl0_25
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f27,plain,
( spl0_1
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f107,plain,
( spl0_12
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_16
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f140,plain,
( spl0_18
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f652,plain,
( product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| ~ spl0_18 ),
inference(resolution,[],[f142,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X2,e_3,X1)
| product(X0,X1,e_2) ),
inference(resolution,[],[f16,f20]) ).
fof(f20,axiom,
! [X0,X1,X6,X5] :
( ~ product(X1,X0,X6)
| product(X5,X6,X0)
| ~ product(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f142,plain,
( product(e_2,e_1,e_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f650,plain,
( ~ spl0_12
| ~ spl0_1
| spl0_18
| spl0_21
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f649,f452,f161,f140,f27,f107]) ).
fof(f161,plain,
( spl0_21
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f649,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| ~ spl0_33 ),
inference(resolution,[],[f647,f16]) ).
fof(f647,plain,
( ~ product(e_2,e_1,e_3)
| ~ spl0_33 ),
inference(resolution,[],[f637,f11]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f633,plain,
( ~ spl0_12
| ~ spl0_4
| spl0_22
| spl0_13
| spl0_33 ),
inference(avatar_split_clause,[],[f632,f452,f121,f165,f47,f107]) ).
fof(f47,plain,
( spl0_4
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f165,plain,
( spl0_22
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f632,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_33 ),
inference(resolution,[],[f453,f16]) ).
fof(f453,plain,
( ~ product(e_2,e_3,e_3)
| spl0_33 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f631,plain,
( ~ spl0_33
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f629,f335,f452]) ).
fof(f335,plain,
( spl0_30
<=> product(e_1,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f629,plain,
( ~ product(e_2,e_3,e_3)
| ~ spl0_30 ),
inference(resolution,[],[f603,f12]) ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f603,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(X0,e_3,e_3) )
| ~ spl0_30 ),
inference(resolution,[],[f337,f19]) ).
fof(f337,plain,
( product(e_1,e_3,e_3)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f595,plain,
( ~ spl0_34
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f593,f165,f456]) ).
fof(f456,plain,
( spl0_34
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f593,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_22 ),
inference(resolution,[],[f499,f10]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f499,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(X0,e_3,e_1) )
| ~ spl0_22 ),
inference(resolution,[],[f167,f19]) ).
fof(f167,plain,
( product(e_2,e_3,e_1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f578,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f576,f43,f51]) ).
fof(f51,plain,
( spl0_5
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f576,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f517,f10]) ).
fof(f517,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_3,e_3,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f45,f17]) ).
fof(f17,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X1,X4)
| equalish(X3,X4)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f564,plain,
( spl0_32
| spl0_5
| ~ spl0_4
| ~ spl0_1
| spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f543,f335,f93,f27,f47,f51,f441]) ).
fof(f441,plain,
( spl0_32
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f93,plain,
( spl0_9
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f543,plain,
( product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_2)
| ~ spl0_30 ),
inference(resolution,[],[f337,f24]) ).
fof(f562,plain,
( ~ spl0_27
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f560,f43,f226]) ).
fof(f226,plain,
( spl0_27
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f560,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f516,f13]) ).
fof(f516,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_3,X0,e_2) )
| ~ spl0_3 ),
inference(resolution,[],[f45,f18]) ).
fof(f561,plain,
( ~ spl0_32
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f559,f43,f441]) ).
fof(f559,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f516,f11]) ).
fof(f542,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_34
| spl0_25
| spl0_30 ),
inference(avatar_split_clause,[],[f541,f335,f214,f456,f47,f27]) ).
fof(f541,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| spl0_30 ),
inference(resolution,[],[f336,f16]) ).
fof(f336,plain,
( ~ product(e_1,e_3,e_3)
| spl0_30 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f535,plain,
( spl0_27
| spl0_25
| ~ spl0_4
| ~ spl0_12
| spl0_28
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f498,f165,f230,f107,f47,f214,f226]) ).
fof(f230,plain,
( spl0_28
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f498,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_2)
| ~ spl0_22 ),
inference(resolution,[],[f167,f24]) ).
fof(f534,plain,
( ~ spl0_25
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f532,f43,f214]) ).
fof(f532,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f515,f11]) ).
fof(f513,plain,
( spl0_21
| spl0_34
| ~ spl0_12
| ~ spl0_1
| spl0_18
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f469,f132,f140,f27,f107,f456,f161]) ).
fof(f469,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_3,e_1)
| product(e_2,e_1,e_2)
| ~ spl0_16 ),
inference(resolution,[],[f134,f24]) ).
fof(f134,plain,
( product(e_1,e_2,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f512,plain,
( ~ spl0_34
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f511,f132,f456]) ).
fof(f511,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_16 ),
inference(resolution,[],[f471,f15]) ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f471,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_1,X0,e_1) )
| ~ spl0_16 ),
inference(resolution,[],[f134,f18]) ).
fof(f504,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| ~ spl0_18
| ~ spl0_22 ),
inference(resolution,[],[f497,f14]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f497,plain,
( equalish(e_3,e_1)
| ~ spl0_18
| ~ spl0_22 ),
inference(resolution,[],[f167,f420]) ).
fof(f420,plain,
( ! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(X0,e_1) )
| ~ spl0_18 ),
inference(resolution,[],[f142,f18]) ).
fof(f468,plain,
( ~ spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f466,f136,f149]) ).
fof(f149,plain,
( spl0_20
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f466,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_17 ),
inference(resolution,[],[f413,f12]) ).
fof(f413,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(X0,e_2,e_2) )
| ~ spl0_17 ),
inference(resolution,[],[f138,f19]) ).
fof(f138,plain,
( product(e_1,e_2,e_2)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f410,plain,
( ~ spl0_21
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f393,f145,f161]) ).
fof(f145,plain,
( spl0_19
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f393,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f387,f12]) ).
fof(f387,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(X0,e_1,e_2) )
| ~ spl0_19 ),
inference(resolution,[],[f381,f19]) ).
fof(f381,plain,
( product(e_1,e_1,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f362,f147]) ).
fof(f147,plain,
( product(e_2,e_2,e_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f362,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| product(X0,e_1,e_2) )
| ~ spl0_19 ),
inference(resolution,[],[f147,f20]) ).
fof(f405,plain,
( spl0_16
| spl0_17
| ~ spl0_1
| spl0_18
| ~ spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f371,f161,f104,f140,f27,f136,f132]) ).
fof(f104,plain,
( spl0_11
<=> ! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f371,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ spl0_11
| spl0_21 ),
inference(resolution,[],[f162,f105]) ).
fof(f105,plain,
( ! [X0] :
( product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f162,plain,
( ~ product(e_2,e_1,e_2)
| spl0_21 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f404,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f29,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f29,plain,
( ~ group_element(e_1)
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f357,plain,
( ~ spl0_12
| spl0_19
| spl0_20
| spl0_29 ),
inference(avatar_split_clause,[],[f340,f253,f149,f145,f107]) ).
fof(f340,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| spl0_29 ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f339,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_2)
| spl0_29 ),
inference(resolution,[],[f254,f16]) ).
fof(f254,plain,
( ~ product(e_2,e_2,e_3)
| spl0_29 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f356,plain,
( ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f354,f149,f121]) ).
fof(f354,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f305,f15]) ).
fof(f305,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_2,X0,e_2) )
| ~ spl0_20 ),
inference(resolution,[],[f151,f18]) ).
fof(f151,plain,
( product(e_2,e_2,e_2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f355,plain,
( ~ spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f353,f149,f161]) ).
fof(f353,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f305,f10]) ).
fof(f338,plain,
( spl0_13
| spl0_30
| ~ spl0_12
| ~ spl0_4
| spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f329,f230,f165,f47,f107,f335,f121]) ).
fof(f329,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_3,e_2)
| ~ spl0_28 ),
inference(resolution,[],[f232,f24]) ).
fof(f232,plain,
( product(e_3,e_2,e_1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f328,plain,
( ~ spl0_28
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f316,f93,f230]) ).
fof(f316,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f299,f12]) ).
fof(f299,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_3,X0,e_1) )
| ~ spl0_9 ),
inference(resolution,[],[f95,f18]) ).
fof(f95,plain,
( product(e_3,e_1,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f327,plain,
( ~ spl0_4
| spl0_27
| spl0_28
| ~ spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f290,f165,f125,f230,f226,f47]) ).
fof(f125,plain,
( spl0_14
<=> ! [X0] :
( product(e_2,X0,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| ~ group_element(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f290,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| ~ spl0_14
| spl0_22 ),
inference(resolution,[],[f166,f126]) ).
fof(f126,plain,
( ! [X0] :
( product(e_2,X0,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| ~ group_element(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f166,plain,
( ~ product(e_2,e_3,e_1)
| spl0_22 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f326,plain,
( ~ spl0_27
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f325,f149,f226]) ).
fof(f325,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f304,f15]) ).
fof(f304,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(X0,e_2,e_2) )
| ~ spl0_20 ),
inference(resolution,[],[f151,f19]) ).
fof(f288,plain,
( ~ spl0_22
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f286,f145,f165]) ).
fof(f286,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_19 ),
inference(resolution,[],[f272,f15]) ).
fof(f272,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(e_2,X0,e_1) )
| ~ spl0_19 ),
inference(resolution,[],[f147,f18]) ).
fof(f287,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f285,f145,f140]) ).
fof(f285,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl0_19 ),
inference(resolution,[],[f272,f10]) ).
fof(f283,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f281,f145,f132]) ).
fof(f281,plain,
( ~ product(e_1,e_2,e_1)
| ~ spl0_19 ),
inference(resolution,[],[f271,f10]) ).
fof(f271,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(X0,e_2,e_1) )
| ~ spl0_19 ),
inference(resolution,[],[f147,f19]) ).
fof(f168,plain,
( spl0_21
| spl0_22
| ~ spl0_12
| ~ spl0_1
| spl0_18
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f155,f136,f140,f27,f107,f165,f161]) ).
fof(f155,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| ~ spl0_17 ),
inference(resolution,[],[f138,f24]) ).
fof(f154,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f109,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f109,plain,
( ~ group_element(e_2)
| spl0_12 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f152,plain,
( ~ spl0_12
| spl0_19
| spl0_20
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f118,f104,f149,f145,f107]) ).
fof(f118,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f117,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| ~ spl0_11 ),
inference(factoring,[],[f105]) ).
fof(f127,plain,
( spl0_13
| ~ spl0_12
| spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f119,f104,f125,f107,f121]) ).
fof(f119,plain,
( ! [X0] :
( product(e_2,X0,e_1)
| ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(e_2)
| product(e_2,e_3,e_2) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f111,plain,
( ! [X0] :
( product(e_2,X0,e_1)
| ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0)
| product(e_2,e_3,e_2)
| product(X0,e_2,e_2) )
| ~ spl0_11 ),
inference(resolution,[],[f105,f24]) ).
fof(f110,plain,
( spl0_11
| ~ spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f102,f43,f107,f104]) ).
fof(f102,plain,
( ! [X0] :
( ~ group_element(e_2)
| ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) )
| spl0_3 ),
inference(resolution,[],[f44,f35]) ).
fof(f35,plain,
! [X0,X1] :
( product(e_3,e_3,X1)
| ~ 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,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(e_3,e_3,X1)
| product(X0,X1,e_2)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f24,f16]) ).
fof(f44,plain,
( ~ product(e_3,e_3,e_2)
| spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f101,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f49,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f49,plain,
( ~ group_element(e_3)
| spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP133-2.003 : TPTP v8.2.0. Released v1.2.0.
% 0.07/0.14 % 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
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 04:17:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.34 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/benchmark/theBenchmark.p
% 0.61/0.78 % (20506)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.78 % (20506)Refutation not found, incomplete strategy% (20506)------------------------------
% 0.61/0.78 % (20506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20506)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20506)Memory used [KB]: 949
% 0.61/0.78 % (20506)Time elapsed: 0.002 s
% 0.61/0.78 % (20506)Instructions burned: 2 (million)
% 0.61/0.78 % (20509)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.78 % (20506)------------------------------
% 0.61/0.78 % (20506)------------------------------
% 0.61/0.78 % (20508)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.78 % (20510)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.78 % (20511)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.78 % (20513)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.78 % (20512)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 theBenchmark for (2995ds/83Mi)
% 0.61/0.78 % (20509)Refutation not found, incomplete strategy% (20509)------------------------------
% 0.61/0.78 % (20509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20509)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20509)Memory used [KB]: 949
% 0.61/0.78 % (20509)Time elapsed: 0.002 s
% 0.61/0.78 % (20509)Instructions burned: 2 (million)
% 0.61/0.78 % (20513)Refutation not found, incomplete strategy% (20513)------------------------------
% 0.61/0.78 % (20513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20509)------------------------------
% 0.61/0.78 % (20509)------------------------------
% 0.61/0.78 % (20513)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20513)Memory used [KB]: 949
% 0.61/0.78 % (20513)Time elapsed: 0.002 s
% 0.61/0.78 % (20513)Instructions burned: 2 (million)
% 0.61/0.78 % (20513)------------------------------
% 0.61/0.78 % (20513)------------------------------
% 0.61/0.78 % (20507)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 theBenchmark for (2995ds/51Mi)
% 0.61/0.78 % (20514)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 theBenchmark for (2995ds/55Mi)
% 0.61/0.78 % (20514)Refutation not found, incomplete strategy% (20514)------------------------------
% 0.61/0.78 % (20514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20514)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20514)Memory used [KB]: 965
% 0.61/0.78 % (20514)Time elapsed: 0.001 s
% 0.61/0.78 % (20514)Instructions burned: 2 (million)
% 0.61/0.78 % (20514)------------------------------
% 0.61/0.78 % (20514)------------------------------
% 0.61/0.79 % (20515)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 theBenchmark for (2995ds/50Mi)
% 0.61/0.79 % (20517)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 theBenchmark for (2995ds/52Mi)
% 0.61/0.79 % (20510)Instruction limit reached!
% 0.61/0.79 % (20510)------------------------------
% 0.61/0.79 % (20510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (20510)Termination reason: Unknown
% 0.61/0.79 % (20510)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (20510)Memory used [KB]: 1131
% 0.61/0.79 % (20510)Time elapsed: 0.012 s
% 0.61/0.79 % (20510)Instructions burned: 37 (million)
% 0.61/0.79 % (20510)------------------------------
% 0.61/0.79 % (20510)------------------------------
% 0.61/0.79 % (20507)First to succeed.
% 0.61/0.79 % (20512)Also succeeded, but the first one will report.
% 0.61/0.79 % (20507)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20415"
% 0.61/0.79 % (20507)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Unsatisfiable for theBenchmark
% 0.61/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.79 % (20507)------------------------------
% 0.61/0.79 % (20507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (20507)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (20507)Memory used [KB]: 1181
% 0.61/0.79 % (20507)Time elapsed: 0.009 s
% 0.61/0.79 % (20507)Instructions burned: 23 (million)
% 0.61/0.79 % (20415)Success in time 0.445 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------