TSTP Solution File: GRP123-3.003 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-3.003 : 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 : n016.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 21:06:35 EDT 2024
% Result : Unsatisfiable 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 140 ( 66 ~; 68 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f434,plain,
$false,
inference(avatar_sat_refutation,[],[f190,f249,f259,f337,f433]) ).
fof(f433,plain,
~ spl9_9,
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl9_9 ),
inference(subsumption_resolution,[],[f361,f30]) ).
fof(f30,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f361,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl9_9 ),
inference(unit_resulting_resolution,[],[f25,f244,f29]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f244,plain,
( product(e_3,e_2,e_2)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl9_9
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f25,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f337,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f275,f30]) ).
fof(f275,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f20,f185,f29]) ).
fof(f185,plain,
( product(e_1,e_2,e_2)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl9_3
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f259,plain,
( spl9_4
| spl9_9
| spl9_10 ),
inference(avatar_split_clause,[],[f258,f246,f242,f187]) ).
fof(f187,plain,
( spl9_4
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f246,plain,
( spl9_10
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f258,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| spl9_10 ),
inference(subsumption_resolution,[],[f257,f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f257,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| spl9_10 ),
inference(subsumption_resolution,[],[f251,f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f251,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| spl9_10 ),
inference(resolution,[],[f248,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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f248,plain,
( ~ product(e_3,e_2,e_3)
| spl9_10 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl9_9
| ~ spl9_10
| spl9_4 ),
inference(avatar_split_clause,[],[f240,f187,f246,f242]) ).
fof(f240,plain,
( ~ product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| spl9_4 ),
inference(subsumption_resolution,[],[f239,f19]) ).
fof(f239,plain,
( ~ product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl9_4 ),
inference(subsumption_resolution,[],[f238,f18]) ).
fof(f238,plain,
( ~ product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| ~ group_element(e_2)
| ~ group_element(e_3)
| spl9_4 ),
inference(subsumption_resolution,[],[f237,f189]) ).
fof(f189,plain,
( ~ product(e_3,e_2,e_1)
| spl9_4 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f237,plain,
( ~ product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[],[f163,f26]) ).
fof(f163,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[],[f39,f151]) ).
fof(f151,plain,
~ sP3(e_3,e_3,e_2),
inference(unit_resulting_resolution,[],[f23,f148,f40]) ).
fof(f40,plain,
! [X9,X7,X4,X5] :
( ~ sP3(X5,X4,X7)
| ~ sP2(X5,X4,X9)
| equalish(X7,X9) ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f38,plain,
! [X6,X9,X7,X4,X5] :
( equalish(X7,X9)
| ~ product(X5,X7,X6)
| ~ product(X6,X7,X4)
| ~ sP2(X5,X4,X9) ),
inference(general_splitting,[],[f32,f37_D]) ).
fof(f37,plain,
! [X8,X9,X4,X5] :
( sP2(X5,X4,X9)
| ~ product(X8,X9,X4)
| ~ product(X5,X9,X8) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X9,X4,X5] :
( ! [X8] :
( ~ product(X8,X9,X4)
| ~ product(X5,X9,X8) )
<=> ~ sP2(X5,X4,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f32,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X7,X9)
| ~ product(X5,X9,X8)
| ~ product(X5,X7,X6)
| ~ product(X8,X9,X4)
| ~ product(X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f148,plain,
! [X0] : sP2(X0,X0,X0),
inference(unit_resulting_resolution,[],[f30,f30,f37]) ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f39,plain,
! [X6,X7,X4,X5] :
( sP3(X5,X4,X7)
| ~ product(X6,X7,X4)
| ~ product(X5,X7,X6) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X7,X4,X5] :
( ! [X6] :
( ~ product(X6,X7,X4)
| ~ product(X5,X7,X6) )
<=> ~ sP3(X5,X4,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f190,plain,
( spl9_3
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f181,f187,f183]) ).
fof(f181,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(subsumption_resolution,[],[f180,f160]) ).
fof(f160,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[],[f39,f152]) ).
fof(f152,plain,
~ sP3(e_1,e_1,e_2),
inference(unit_resulting_resolution,[],[f22,f148,f40]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f180,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f179,f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f179,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_1) ),
inference(subsumption_resolution,[],[f178,f18]) ).
fof(f178,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[],[f160,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-3.003 : 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 : n016.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 04:51:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.55/0.72 % (2749)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 (2996ds/83Mi)
% 0.55/0.73 % (2743)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 (2996ds/34Mi)
% 0.55/0.73 % (2746)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73 % (2744)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 (2996ds/51Mi)
% 0.55/0.73 % (2745)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73 % (2747)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 (2996ds/34Mi)
% 0.55/0.73 % (2748)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73 % (2746)Refutation not found, incomplete strategy% (2746)------------------------------
% 0.55/0.73 % (2746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2748)Refutation not found, incomplete strategy% (2748)------------------------------
% 0.55/0.73 % (2748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2748)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (2748)Memory used [KB]: 950
% 0.55/0.73 % (2745)Refutation not found, incomplete strategy% (2745)------------------------------
% 0.55/0.73 % (2745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2748)Time elapsed: 0.002 s
% 0.55/0.73 % (2745)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73 % (2748)Instructions burned: 2 (million)
% 0.55/0.73
% 0.55/0.73 % (2745)Memory used [KB]: 950
% 0.55/0.73 % (2745)Time elapsed: 0.002 s
% 0.55/0.73 % (2745)Instructions burned: 2 (million)
% 0.55/0.73 % (2746)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (2746)Memory used [KB]: 950
% 0.55/0.73 % (2746)Time elapsed: 0.002 s
% 0.55/0.73 % (2746)Instructions burned: 2 (million)
% 0.55/0.73 % (2745)------------------------------
% 0.55/0.73 % (2745)------------------------------
% 0.55/0.73 % (2746)------------------------------
% 0.55/0.73 % (2746)------------------------------
% 0.55/0.73 % (2743)Refutation not found, incomplete strategy% (2743)------------------------------
% 0.55/0.73 % (2743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2743)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (2743)Memory used [KB]: 975
% 0.55/0.73 % (2743)Time elapsed: 0.003 s
% 0.55/0.73 % (2743)Instructions burned: 4 (million)
% 0.55/0.73 % (2743)------------------------------
% 0.55/0.73 % (2743)------------------------------
% 0.55/0.73 % (2750)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 (2996ds/56Mi)
% 0.55/0.73 % (2748)------------------------------
% 0.55/0.73 % (2748)------------------------------
% 0.55/0.73 % (2750)Refutation not found, incomplete strategy% (2750)------------------------------
% 0.55/0.73 % (2750)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2750)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (2750)Memory used [KB]: 950
% 0.55/0.73 % (2750)Time elapsed: 0.003 s
% 0.55/0.73 % (2750)Instructions burned: 2 (million)
% 0.55/0.73 % (2751)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 (2996ds/55Mi)
% 0.55/0.73 % (2749)First to succeed.
% 0.55/0.73 % (2752)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 (2996ds/50Mi)
% 0.55/0.73 % (2750)------------------------------
% 0.55/0.73 % (2750)------------------------------
% 0.55/0.73 % (2749)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2742"
% 0.55/0.73 % (2749)Refutation found. Thanks to Tanya!
% 0.55/0.73 % SZS status Unsatisfiable for theBenchmark
% 0.55/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.73 % (2749)------------------------------
% 0.55/0.73 % (2749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (2749)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (2749)Memory used [KB]: 1137
% 0.55/0.73 % (2749)Time elapsed: 0.008 s
% 0.55/0.73 % (2749)Instructions burned: 21 (million)
% 0.55/0.73 % (2742)Success in time 0.374 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------