TSTP Solution File: GRP123-3.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-3.003 : 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 : n015.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 : Wed May 1 02:27:11 EDT 2024
% Result : Unsatisfiable 0.64s 0.80s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 158 ( 68 ~; 81 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f127,f139,f158,f243,f245,f283,f284,f305,f317]) ).
fof(f317,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_24 ),
inference(resolution,[],[f315,f22]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',e_2_is_not_e_1) ).
fof(f315,plain,
( equalish(e_2,e_1)
| ~ spl0_24 ),
inference(resolution,[],[f204,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f28,f30]) ).
fof(f30,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',product_idempotence) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| ~ product(X0,X2,X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',product_right_cancellation) ).
fof(f204,plain,
( product(e_2,e_1,e_2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl0_24
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f305,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| ~ spl0_27 ),
inference(resolution,[],[f218,f20]) ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',e_1_is_not_e_2) ).
fof(f218,plain,
( equalish(e_1,e_2)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_27
<=> equalish(e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f284,plain,
( ~ spl0_16
| spl0_23
| spl0_24
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f246,f155,f137,f202,f198,f144]) ).
fof(f144,plain,
( spl0_16
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f198,plain,
( spl0_23
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f137,plain,
( spl0_14
<=> ! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ product(e_3,e_1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f155,plain,
( spl0_18
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f246,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f157,f138]) ).
fof(f138,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f157,plain,
( product(e_3,e_1,e_2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f283,plain,
( spl0_27
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f265,f198,f216]) ).
fof(f265,plain,
( equalish(e_1,e_2)
| ~ spl0_23 ),
inference(resolution,[],[f200,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f29,f30]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',product_left_cancellation) ).
fof(f200,plain,
( product(e_2,e_1,e_1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f245,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f146,f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',element_2) ).
fof(f146,plain,
( ~ group_element(e_2)
| spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f243,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f240,f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',e_1_is_not_e_3) ).
fof(f240,plain,
( equalish(e_1,e_3)
| ~ spl0_17 ),
inference(resolution,[],[f153,f56]) ).
fof(f153,plain,
( product(e_3,e_1,e_1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_17
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f158,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_17
| spl0_18
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f149,f137,f155,f151,f105,f73]) ).
fof(f73,plain,
( spl0_5
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f105,plain,
( spl0_8
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f149,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f148,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| ~ spl0_14 ),
inference(resolution,[],[f138,f26]) ).
fof(f26,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.FNgVjreSHm/Vampire---4.8_4105',product_total_function1) ).
fof(f139,plain,
( spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f134,f73,f137]) ).
fof(f134,plain,
! [X0] :
( ~ group_element(e_1)
| ~ group_element(X0)
| ~ product(e_3,e_1,X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f128,f21]) ).
fof(f128,plain,
! [X0,X1] :
( equalish(X1,e_3)
| ~ group_element(X1)
| ~ group_element(X0)
| ~ product(e_3,X1,X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
inference(resolution,[],[f95,f30]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ product(X2,e_3,e_3)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| ~ product(X2,X1,X0)
| equalish(X1,e_3)
| product(X0,X1,e_2) ),
inference(resolution,[],[f26,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X1)
| ~ product(X0,X2,X3)
| equalish(X2,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[],[f30,f32]) ).
fof(f32,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X8,X9,X4)
| ~ product(X5,X9,X8)
| ~ product(X5,X7,X6)
| equalish(X7,X9)
| ~ product(X6,X7,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',qg1_2) ).
fof(f127,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f107,f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',element_3) ).
fof(f107,plain,
( ~ group_element(e_3)
| spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f125,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f75,f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.FNgVjreSHm/Vampire---4.8_4105',element_1) ).
fof(f75,plain,
( ~ group_element(e_1)
| spl0_5 ),
inference(avatar_component_clause,[],[f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 18:45:03 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.16/0.31 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.FNgVjreSHm/Vampire---4.8_4105
% 0.61/0.80 % (4217)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (4219)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)
% 0.61/0.80 % (4220)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)
% 0.61/0.80 % (4215)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)
% 0.61/0.80 % (4222)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)
% 0.61/0.80 % (4218)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)
% 0.61/0.80 % (4220)Refutation not found, incomplete strategy% (4220)------------------------------
% 0.61/0.80 % (4220)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (4220)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (4220)Memory used [KB]: 950
% 0.61/0.80 % (4220)Time elapsed: 0.002 s
% 0.61/0.80 % (4220)Instructions burned: 2 (million)
% 0.61/0.80 % (4220)------------------------------
% 0.61/0.80 % (4220)------------------------------
% 0.61/0.80 % (4222)Refutation not found, incomplete strategy% (4222)------------------------------
% 0.61/0.80 % (4222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (4222)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80 % (4221)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)
% 0.61/0.80
% 0.61/0.80 % (4218)Refutation not found, incomplete strategy% (4218)------------------------------
% 0.61/0.80 % (4218)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (4218)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (4222)Memory used [KB]: 950
% 0.61/0.80 % (4222)Time elapsed: 0.002 s
% 0.61/0.80 % (4218)Memory used [KB]: 950
% 0.61/0.80 % (4218)Time elapsed: 0.002 s
% 0.61/0.80 % (4222)Instructions burned: 2 (million)
% 0.61/0.80 % (4222)------------------------------
% 0.61/0.80 % (4222)------------------------------
% 0.61/0.80 % (4218)Instructions burned: 2 (million)
% 0.61/0.80 % (4218)------------------------------
% 0.61/0.80 % (4218)------------------------------
% 0.61/0.80 % (4217)Refutation not found, incomplete strategy% (4217)------------------------------
% 0.61/0.80 % (4217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (4217)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (4217)Memory used [KB]: 949
% 0.61/0.80 % (4217)Time elapsed: 0.003 s
% 0.61/0.80 % (4217)Instructions burned: 2 (million)
% 0.61/0.80 % (4217)------------------------------
% 0.61/0.80 % (4217)------------------------------
% 0.61/0.80 % (4216)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)
% 0.61/0.80 % (4215)Refutation not found, incomplete strategy% (4215)------------------------------
% 0.61/0.80 % (4215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (4215)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (4215)Memory used [KB]: 975
% 0.61/0.80 % (4215)Time elapsed: 0.003 s
% 0.61/0.80 % (4215)Instructions burned: 4 (million)
% 0.61/0.80 % (4215)------------------------------
% 0.61/0.80 % (4215)------------------------------
% 0.61/0.80 % (4223)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)
% 0.64/0.80 % (4224)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)
% 0.64/0.80 % (4225)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)
% 0.64/0.80 % (4226)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)
% 0.64/0.80 % (4227)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)
% 0.64/0.80 % (4225)Refutation not found, incomplete strategy% (4225)------------------------------
% 0.64/0.80 % (4225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (4225)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (4225)Memory used [KB]: 972
% 0.64/0.80 % (4225)Time elapsed: 0.002 s
% 0.64/0.80 % (4225)Instructions burned: 3 (million)
% 0.64/0.80 % (4225)------------------------------
% 0.64/0.80 % (4225)------------------------------
% 0.64/0.80 % (4216)First to succeed.
% 0.64/0.80 % (4223)Also succeeded, but the first one will report.
% 0.64/0.80 % (4216)Refutation found. Thanks to Tanya!
% 0.64/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.64/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.80 % (4216)------------------------------
% 0.64/0.80 % (4216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (4216)Termination reason: Refutation
% 0.64/0.80
% 0.64/0.80 % (4216)Memory used [KB]: 1121
% 0.64/0.80 % (4216)Time elapsed: 0.007 s
% 0.64/0.80 % (4216)Instructions burned: 11 (million)
% 0.64/0.80 % (4216)------------------------------
% 0.64/0.80 % (4216)------------------------------
% 0.64/0.80 % (4213)Success in time 0.487 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------