TSTP Solution File: GRP123-1.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-1.003 : 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 : n017.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 21:06:34 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 53 ~; 51 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f72,f145,f154,f163,f179,f189]) ).
fof(f189,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f182,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f182,plain,
( equalish(e_1,e_3)
| ~ spl0_5 ),
inference(resolution,[],[f67,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f67,plain,
( product(e_3,e_1,e_3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_5
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f179,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f174,f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f174,plain,
( equalish(e_3,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f71,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f71,plain,
( product(e_3,e_1,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_6
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f163,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f162,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f158,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f158,plain,
( equalish(e_2,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f58,f37]) ).
fof(f58,plain,
( product(e_2,e_1,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_3
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f154,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f148,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f148,plain,
( equalish(e_1,e_2)
| ~ spl0_1 ),
inference(resolution,[],[f50,f36]) ).
fof(f50,plain,
( product(e_2,e_1,e_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_1
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f145,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f137,f14]) ).
fof(f137,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f63,f102]) ).
fof(f102,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) )
| ~ spl0_2 ),
inference(resolution,[],[f54,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ product(e_2,X1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[],[f14,f24]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ product(e_3,X1,X3)
| ~ product(X0,X2,e_2)
| ~ product(X0,X1,e_3)
| ~ product(e_2,X2,X3) ),
inference(resolution,[],[f7,f15]) ).
fof(f15,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X4,X7)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X4)
| ~ product(X7,X8,X6)
| ~ product(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f54,plain,
( product(e_2,e_1,e_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_2
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f63,plain,
( product(e_3,e_1,e_2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_4
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f72,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f69,f65,f61]) ).
fof(f46,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[],[f38,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f38,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f10,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f10,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| product(X0,X1,e_3)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f59,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f45,f56,f52,f48]) ).
fof(f45,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f38,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-1.003 : TPTP v8.2.0. Released v1.2.0.
% 0.11/0.13 % 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
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun May 19 04:09:53 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.35 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
% 0.55/0.75 % (18189)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)
% 0.55/0.75 % (18194)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)
% 0.55/0.75 % (18191)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75 % (18192)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)
% 0.55/0.75 % (18193)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)
% 0.55/0.75 % (18190)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)
% 0.55/0.75 % (18194)Refutation not found, incomplete strategy% (18194)------------------------------
% 0.55/0.75 % (18194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18194)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (18194)Memory used [KB]: 945
% 0.55/0.75 % (18195)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)
% 0.55/0.75 % (18194)Time elapsed: 0.002 s
% 0.55/0.75 % (18194)Instructions burned: 2 (million)
% 0.55/0.75 % (18196)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)
% 0.55/0.75 % (18192)Refutation not found, incomplete strategy% (18192)------------------------------
% 0.55/0.75 % (18192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18192)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (18192)Memory used [KB]: 945
% 0.55/0.75 % (18192)Time elapsed: 0.002 s
% 0.55/0.75 % (18192)Instructions burned: 2 (million)
% 0.55/0.75 % (18194)------------------------------
% 0.55/0.75 % (18194)------------------------------
% 0.55/0.75 % (18195)Refutation not found, incomplete strategy% (18195)------------------------------
% 0.55/0.75 % (18195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18196)Refutation not found, incomplete strategy% (18196)------------------------------
% 0.55/0.75 % (18196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18195)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (18195)Memory used [KB]: 946
% 0.55/0.75 % (18195)Time elapsed: 0.002 s
% 0.55/0.75 % (18195)Instructions burned: 2 (million)
% 0.55/0.75 % (18196)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (18192)------------------------------
% 0.55/0.75 % (18192)------------------------------
% 0.55/0.75 % (18196)Memory used [KB]: 945
% 0.55/0.75 % (18196)Time elapsed: 0.002 s
% 0.55/0.75 % (18196)Instructions burned: 2 (million)
% 0.55/0.75 % (18195)------------------------------
% 0.55/0.75 % (18195)------------------------------
% 0.55/0.75 % (18196)------------------------------
% 0.55/0.75 % (18196)------------------------------
% 0.55/0.75 % (18189)Refutation not found, incomplete strategy% (18189)------------------------------
% 0.55/0.75 % (18189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18189)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (18189)Memory used [KB]: 969
% 0.55/0.75 % (18189)Time elapsed: 0.002 s
% 0.55/0.75 % (18189)Instructions burned: 4 (million)
% 0.55/0.75 % (18189)------------------------------
% 0.55/0.75 % (18189)------------------------------
% 0.55/0.75 % (18191)First to succeed.
% 0.55/0.75 % (18197)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)
% 0.55/0.75 % (18200)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 (2996ds/52Mi)
% 0.55/0.75 % (18198)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)
% 0.55/0.75 % (18199)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75 % (18191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18188"
% 0.55/0.75 % (18191)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.55/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.75 % (18191)------------------------------
% 0.55/0.75 % (18191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (18191)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (18191)Memory used [KB]: 1075
% 0.55/0.75 % (18191)Time elapsed: 0.006 s
% 0.55/0.75 % (18191)Instructions burned: 8 (million)
% 0.55/0.75 % (18188)Success in time 0.39 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------