TSTP Solution File: GRP135-1.002 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP135-1.002 : 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 : n031.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 02:27:36 EDT 2024
% Result : Unsatisfiable 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 191 ( 87 ~; 95 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f60,f75,f101,f108,f114,f120,f132,f152,f174,f176,f185]) ).
fof(f185,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f177,f3]) ).
fof(f3,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',e_1_is_not_e_2) ).
fof(f177,plain,
( equalish(e_1,e_2)
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f35,f122]) ).
fof(f122,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(X0,e_2) )
| ~ spl0_7 ),
inference(resolution,[],[f51,f8]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',product_left_cancellation) ).
fof(f51,plain,
( product(e_2,e_2,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_7
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f35,plain,
( product(e_1,e_2,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_3
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f176,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f175,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f96,f4]) ).
fof(f4,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',e_2_is_not_e_1) ).
fof(f96,plain,
( equalish(e_2,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_12
<=> equalish(e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f174,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f170,f49,f45,f94]) ).
fof(f45,plain,
( spl0_6
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f170,plain,
( equalish(e_2,e_1)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f124,f47]) ).
fof(f47,plain,
( product(e_2,e_2,e_2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f124,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| equalish(X0,e_1) )
| ~ spl0_7 ),
inference(resolution,[],[f51,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',product_total_function2) ).
fof(f152,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f150,f3]) ).
fof(f150,plain,
( equalish(e_1,e_2)
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f123,f113]) ).
fof(f113,plain,
( product(e_2,e_1,e_1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_13
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f123,plain,
( ! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(X0,e_2) )
| ~ spl0_7 ),
inference(resolution,[],[f51,f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',product_right_cancellation) ).
fof(f132,plain,
( spl0_3
| spl0_6
| ~ spl0_4
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f121,f49,f17,f37,f45,f33]) ).
fof(f37,plain,
( spl0_4
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f17,plain,
( spl0_1
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f121,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ spl0_7 ),
inference(resolution,[],[f51,f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ group_element(X1)
| ~ group_element(X0)
| product(e_2,X1,X2)
| product(X0,X1,e_1) ),
inference(resolution,[],[f5,f9]) ).
fof(f9,axiom,
! [X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| product(X5,X1,X0)
| ~ product(X1,X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',qg3) ).
fof(f5,axiom,
! [X0,X1] :
( product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',product_total_function1) ).
fof(f120,plain,
( spl0_3
| spl0_7
| ~ spl0_4
| ~ spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f115,f111,f17,f37,f49,f33]) ).
fof(f115,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| ~ spl0_13 ),
inference(resolution,[],[f113,f13]) ).
fof(f114,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f109,f72,f111,f37,f17]) ).
fof(f72,plain,
( spl0_10
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f109,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| spl0_10 ),
inference(resolution,[],[f73,f5]) ).
fof(f73,plain,
( ~ product(e_2,e_1,e_2)
| spl0_10 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f108,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f107,f72,f17,f49]) ).
fof(f107,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_1)
| ~ spl0_10 ),
inference(resolution,[],[f74,f13]) ).
fof(f74,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f101,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f99,f3]) ).
fof(f99,plain,
( equalish(e_1,e_2)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f63,f70]) ).
fof(f70,plain,
( product(e_1,e_1,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_9
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f63,plain,
( ! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(X0,e_2) )
| ~ spl0_3 ),
inference(resolution,[],[f35,f7]) ).
fof(f75,plain,
( spl0_9
| spl0_10
| ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f66,f33,f37,f72,f68]) ).
fof(f66,plain,
( ~ group_element(e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f61,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f35,f13]) ).
fof(f60,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f39,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',element_1) ).
fof(f39,plain,
( ~ group_element(e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f58,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.nO0yx8Gqf2/Vampire---4.8_18823',element_2) ).
fof(f19,plain,
( ~ group_element(e_2)
| spl0_1 ),
inference(avatar_component_clause,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP135-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:58:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.35 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.nO0yx8Gqf2/Vampire---4.8_18823
% 0.61/0.76 % (19044)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)
% 0.61/0.76 % (19047)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)
% 0.61/0.76 % (19047)Refutation not found, incomplete strategy% (19047)------------------------------
% 0.61/0.76 % (19047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (19047)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (19047)Memory used [KB]: 945
% 0.61/0.76 % (19047)Time elapsed: 0.002 s
% 0.61/0.76 % (19047)Instructions burned: 2 (million)
% 0.61/0.76 % (19047)------------------------------
% 0.61/0.76 % (19047)------------------------------
% 0.61/0.76 % (19040)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)
% 0.61/0.76 % (19042)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.76 % (19043)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)
% 0.61/0.76 % (19041)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)
% 0.61/0.76 % (19045)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)
% 0.61/0.76 % (19040)Refutation not found, incomplete strategy% (19040)------------------------------
% 0.61/0.76 % (19040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (19040)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (19040)Memory used [KB]: 945
% 0.61/0.76 % (19040)Time elapsed: 0.004 s
% 0.61/0.76 % (19040)Instructions burned: 2 (million)
% 0.61/0.76 % (19040)------------------------------
% 0.61/0.76 % (19040)------------------------------
% 0.61/0.76 % (19046)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)
% 0.61/0.76 % (19043)Refutation not found, incomplete strategy% (19043)------------------------------
% 0.61/0.76 % (19043)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (19045)Refutation not found, incomplete strategy% (19045)------------------------------
% 0.61/0.76 % (19045)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (19045)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (19045)Memory used [KB]: 945
% 0.61/0.76 % (19045)Time elapsed: 0.004 s
% 0.61/0.76 % (19045)Instructions burned: 2 (million)
% 0.61/0.76 % (19045)------------------------------
% 0.61/0.76 % (19045)------------------------------
% 0.61/0.76 % (19043)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (19043)Memory used [KB]: 945
% 0.61/0.76 % (19043)Time elapsed: 0.004 s
% 0.61/0.76 % (19043)Instructions burned: 2 (million)
% 0.61/0.76 % (19043)------------------------------
% 0.61/0.76 % (19043)------------------------------
% 0.61/0.76 % (19049)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)
% 0.61/0.76 % (19049)Refutation not found, incomplete strategy% (19049)------------------------------
% 0.61/0.76 % (19049)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (19049)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (19049)Memory used [KB]: 960
% 0.61/0.76 % (19049)Time elapsed: 0.002 s
% 0.61/0.76 % (19049)Instructions burned: 2 (million)
% 0.61/0.76 % (19049)------------------------------
% 0.61/0.76 % (19049)------------------------------
% 0.61/0.77 % (19041)First to succeed.
% 0.61/0.77 % (19052)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)
% 0.61/0.77 % (19055)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)
% 0.61/0.77 % (19053)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)
% 0.61/0.77 % (19046)Also succeeded, but the first one will report.
% 0.61/0.77 % (19054)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)
% 0.61/0.77 % (19053)Refutation not found, incomplete strategy% (19053)------------------------------
% 0.61/0.77 % (19053)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (19053)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (19053)Memory used [KB]: 945
% 0.61/0.77 % (19053)Time elapsed: 0.004 s
% 0.61/0.77 % (19053)Instructions burned: 2 (million)
% 0.61/0.77 % (19053)------------------------------
% 0.61/0.77 % (19053)------------------------------
% 0.61/0.77 % (19041)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (19041)------------------------------
% 0.61/0.77 % (19041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (19041)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (19041)Memory used [KB]: 1021
% 0.61/0.77 % (19041)Time elapsed: 0.010 s
% 0.61/0.77 % (19041)Instructions burned: 7 (million)
% 0.61/0.77 % (19041)------------------------------
% 0.61/0.77 % (19041)------------------------------
% 0.61/0.77 % (19010)Success in time 0.411 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------