TSTP Solution File: GRP123-6.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-6.003 : 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 : n007.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 05:45:58 EDT 2024
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 77 ~; 94 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f90,f99,f105,f127,f147,f153,f155,f164,f166]) ).
fof(f166,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f81,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',element_2) ).
fof(f81,plain,
( ~ group_element(e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_5
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f164,plain,
( ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f156,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',e_1_is_not_e_2) ).
fof(f156,plain,
( equalish(e_1,e_2)
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f126,f107]) ).
fof(f107,plain,
( ! [X0] :
( ~ product1(X0,e_3,e_1)
| equalish(X0,e_2) )
| ~ spl0_7 ),
inference(resolution,[],[f89,f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| equalish(X2,X3)
| ~ product1(X2,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product1_left_cancellation) ).
fof(f89,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_7
<=> product1(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f126,plain,
( product1(e_1,e_3,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_12
<=> product1(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f155,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f122,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',element_1) ).
fof(f122,plain,
( ~ group_element(e_1)
| spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_11
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f153,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f148,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',e_2_is_not_e_3) ).
fof(f148,plain,
( equalish(e_2,e_3)
| ~ spl0_10 ),
inference(resolution,[],[f118,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ product2(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f17,f19]) ).
fof(f19,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product2_idempotence) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X3,X1)
| equalish(X2,X3)
| ~ product2(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product2_right_cancellation) ).
fof(f118,plain,
( product2(e_3,e_2,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_10
<=> product2(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f147,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f145,f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',e_3_is_not_e_1) ).
fof(f145,plain,
( equalish(e_3,e_1)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f141,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product2(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f16,f19]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| equalish(X2,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product2_total_function2) ).
fof(f141,plain,
( product2(e_1,e_1,e_3)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f110,f114]) ).
fof(f114,plain,
( product1(e_1,e_3,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_9
<=> product1(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f110,plain,
( ! [X0] :
( ~ product1(X0,e_3,e_2)
| product2(e_1,X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f89,f20]) ).
fof(f20,axiom,
! [X0,X1,X4,X5] :
( ~ product1(X4,X1,X5)
| product2(X5,X0,X1)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',qg1a) ).
fof(f127,plain,
( spl0_9
| spl0_10
| ~ spl0_11
| ~ spl0_1
| spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f106,f87,f124,f45,f120,f116,f112]) ).
fof(f45,plain,
( spl0_1
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f106,plain,
( product1(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product2(e_3,e_2,e_3)
| product1(e_1,e_3,e_2)
| ~ spl0_7 ),
inference(resolution,[],[f89,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ product1(X2,X1,X0)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product2(e_3,X2,X1)
| product1(X0,X1,e_2) ),
inference(resolution,[],[f10,f20]) ).
fof(f10,axiom,
! [X0,X1] :
( product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product1_total_function1) ).
fof(f105,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f85,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',e_3_is_not_e_2) ).
fof(f85,plain,
( equalish(e_3,e_2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_6
<=> equalish(e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f99,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f47,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',element_3) ).
fof(f47,plain,
( ~ group_element(e_3)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f90,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f77,f53,f87,f83,f79]) ).
fof(f53,plain,
( spl0_3
<=> ! [X0] :
( product1(X0,e_3,e_2)
| product2(e_3,X0,e_3)
| ~ group_element(X0)
| product1(X0,e_3,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f77,plain,
( product1(e_2,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
( product1(e_2,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| equalish(e_3,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f70,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product1_idempotence) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| equalish(X2,X3)
| ~ product1(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.GOXxztCvzv/Vampire---4.8_9552',product1_right_cancellation) ).
fof(f70,plain,
( ! [X0] :
( product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| equalish(e_3,X0)
| ~ group_element(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f61,f19]) ).
fof(f61,plain,
( ! [X0,X1] :
( ~ product2(e_3,X1,e_3)
| ~ group_element(X0)
| product1(X0,e_3,e_1)
| equalish(X1,X0)
| product1(X0,e_3,e_2) )
| ~ spl0_3 ),
inference(resolution,[],[f54,f17]) ).
fof(f54,plain,
( ! [X0] :
( product2(e_3,X0,e_3)
| product1(X0,e_3,e_2)
| ~ group_element(X0)
| product1(X0,e_3,e_1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f53,f45]) ).
fof(f40,plain,
! [X0] :
( product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0)
| product2(e_3,X0,e_3) ),
inference(resolution,[],[f10,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ product1(X1,X0,X0)
| product2(X0,X1,X0) ),
inference(resolution,[],[f14,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP123-6.003 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.12 % 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
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 20:42:37 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.11/0.32 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.GOXxztCvzv/Vampire---4.8_9552
% 0.60/0.79 % (9660)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)
% 0.60/0.79 % (9662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (9661)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)
% 0.60/0.79 % (9663)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)
% 0.60/0.79 % (9664)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)
% 0.60/0.79 % (9665)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)
% 0.60/0.79 % (9666)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)
% 0.60/0.79 % (9667)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)
% 0.60/0.79 % (9660)Refutation not found, incomplete strategy% (9660)------------------------------
% 0.60/0.79 % (9660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (9660)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (9660)Memory used [KB]: 948
% 0.60/0.79 % (9660)Time elapsed: 0.002 s
% 0.60/0.79 % (9660)Instructions burned: 2 (million)
% 0.60/0.79 % (9663)Refutation not found, incomplete strategy% (9663)------------------------------
% 0.60/0.79 % (9663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (9663)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (9663)Memory used [KB]: 947
% 0.60/0.79 % (9663)Time elapsed: 0.002 s
% 0.60/0.79 % (9663)Instructions burned: 2 (million)
% 0.60/0.79 % (9667)Refutation not found, incomplete strategy% (9667)------------------------------
% 0.60/0.79 % (9667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (9667)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (9667)Memory used [KB]: 947
% 0.60/0.79 % (9667)Time elapsed: 0.002 s
% 0.60/0.79 % (9667)Instructions burned: 2 (million)
% 0.60/0.80 % (9660)------------------------------
% 0.60/0.80 % (9660)------------------------------
% 0.60/0.80 % (9663)------------------------------
% 0.60/0.80 % (9663)------------------------------
% 0.60/0.80 % (9667)------------------------------
% 0.60/0.80 % (9667)------------------------------
% 0.60/0.80 % (9665)Refutation not found, incomplete strategy% (9665)------------------------------
% 0.60/0.80 % (9665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (9665)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9665)Memory used [KB]: 947
% 0.60/0.80 % (9665)Time elapsed: 0.003 s
% 0.60/0.80 % (9665)Instructions burned: 2 (million)
% 0.60/0.80 % (9665)------------------------------
% 0.60/0.80 % (9665)------------------------------
% 0.60/0.80 % (9661)First to succeed.
% 0.60/0.80 % (9668)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)
% 0.60/0.80 % (9670)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)
% 0.60/0.80 % (9669)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)
% 0.60/0.80 % (9666)Also succeeded, but the first one will report.
% 0.60/0.80 % (9670)Refutation not found, incomplete strategy% (9670)------------------------------
% 0.60/0.80 % (9670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (9670)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9670)Memory used [KB]: 947
% 0.60/0.80 % (9670)Time elapsed: 0.002 s
% 0.60/0.80 % (9670)Instructions burned: 2 (million)
% 0.60/0.80 % (9661)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9659"
% 0.60/0.80 % (9662)Also succeeded, but the first one will report.
% 0.60/0.80 % (9670)------------------------------
% 0.60/0.80 % (9670)------------------------------
% 0.60/0.80 % (9671)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)
% 0.60/0.80 % (9661)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 % (9661)------------------------------
% 0.60/0.80 % (9661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (9661)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (9661)Memory used [KB]: 1082
% 0.60/0.80 % (9661)Time elapsed: 0.007 s
% 0.60/0.80 % (9661)Instructions burned: 7 (million)
% 0.60/0.80 % (9659)Success in time 0.473 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------