TSTP Solution File: GRP123-2.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-2.003 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 05:45:56 EDT 2024
% Result : Unsatisfiable 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 52 ~; 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(f207,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f79,f157,f167,f177,f195,f206]) ).
fof(f206,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f201,f14]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',e_3_is_not_e_1) ).
fof(f201,plain,
( equalish(e_3,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f78,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f19,f20]) ).
fof(f20,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',product_idempotence) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product(X4,X1,X0)
| equalish(X3,X4)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',product_left_cancellation) ).
fof(f78,plain,
( product(e_3,e_1,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_6
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f195,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f187,f11]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',e_1_is_not_e_3) ).
fof(f187,plain,
( equalish(e_1,e_3)
| ~ spl0_5 ),
inference(resolution,[],[f74,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f18,f20]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X4,X1)
| equalish(X3,X4)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',product_right_cancellation) ).
fof(f74,plain,
( product(e_3,e_1,e_3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_5
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f177,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f172,f12]) ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',e_2_is_not_e_1) ).
fof(f172,plain,
( equalish(e_2,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f65,f43]) ).
fof(f65,plain,
( product(e_2,e_1,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_3
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f167,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f160,f10]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',e_1_is_not_e_2) ).
fof(f160,plain,
( equalish(e_1,e_2)
| ~ spl0_1 ),
inference(resolution,[],[f57,f42]) ).
fof(f57,plain,
( product(e_2,e_1,e_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_1
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f157,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f146,f20]) ).
fof(f146,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f70,f81]) ).
fof(f81,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| ~ product(e_2,e_2,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f61,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ product(e_2,e_1,X0)
| ~ product(e_2,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f20,f23]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X2)
| ~ product(X1,e_2,X3)
| ~ product(X2,e_1,X3) ),
inference(resolution,[],[f10,f22]) ).
fof(f22,axiom,
! [X2,X8,X6,X9,X7,X5] :
( equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X9,X5,X2)
| ~ product(X7,X8,X6)
| ~ product(X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',qg1_2) ).
fof(f61,plain,
( product(e_2,e_1,e_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_2
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f70,plain,
( product(e_3,e_1,e_2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_4
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f79,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f53,f76,f72,f68]) ).
fof(f53,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[],[f44,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',element_3) ).
fof(f44,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,[],[f16,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',element_1) ).
fof(f16,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/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',product_total_function1) ).
fof(f66,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f52,f63,f59,f55]) ).
fof(f52,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f44,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236',element_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15 % 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
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 20:39:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.16/0.37 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/tmp/tmp.wTATTgzAAH/Vampire---4.8_22236
% 0.61/0.76 % (22494)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 (2996ds/34Mi)
% 0.61/0.76 % (22498)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 (2996ds/34Mi)
% 0.61/0.76 % (22496)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (22497)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76 % (22495)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 (2996ds/51Mi)
% 0.61/0.76 % (22501)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 (2996ds/56Mi)
% 0.61/0.76 % (22500)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 (2996ds/83Mi)
% 0.61/0.76 % (22499)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76 % (22497)Refutation not found, incomplete strategy% (22497)------------------------------
% 0.61/0.76 % (22497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22497)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (22497)Memory used [KB]: 949
% 0.61/0.76 % (22497)Time elapsed: 0.002 s
% 0.61/0.76 % (22497)Instructions burned: 2 (million)
% 0.61/0.76 % (22501)Refutation not found, incomplete strategy% (22501)------------------------------
% 0.61/0.76 % (22501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22501)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (22501)Memory used [KB]: 949
% 0.61/0.76 % (22501)Time elapsed: 0.002 s
% 0.61/0.76 % (22501)Instructions burned: 2 (million)
% 0.61/0.76 % (22499)Refutation not found, incomplete strategy% (22499)------------------------------
% 0.61/0.76 % (22499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22499)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (22494)Refutation not found, incomplete strategy% (22494)------------------------------
% 0.61/0.76 % (22494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22499)Memory used [KB]: 949
% 0.61/0.76 % (22499)Time elapsed: 0.002 s
% 0.61/0.76 % (22499)Instructions burned: 2 (million)
% 0.61/0.76 % (22494)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (22494)Memory used [KB]: 971
% 0.61/0.76 % (22494)Time elapsed: 0.002 s
% 0.61/0.76 % (22494)Instructions burned: 4 (million)
% 0.61/0.76 % (22501)------------------------------
% 0.61/0.76 % (22501)------------------------------
% 0.61/0.76 % (22497)------------------------------
% 0.61/0.76 % (22497)------------------------------
% 0.61/0.76 % (22499)------------------------------
% 0.61/0.76 % (22499)------------------------------
% 0.61/0.76 % (22494)------------------------------
% 0.61/0.76 % (22494)------------------------------
% 0.61/0.76 % (22502)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 (2996ds/55Mi)
% 0.61/0.76 % (22500)Refutation not found, incomplete strategy% (22500)------------------------------
% 0.61/0.76 % (22500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22500)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (22500)Memory used [KB]: 1043
% 0.61/0.76 % (22500)Time elapsed: 0.006 s
% 0.61/0.76 % (22500)Instructions burned: 7 (million)
% 0.61/0.76 % (22496)First to succeed.
% 0.61/0.76 % (22500)------------------------------
% 0.61/0.76 % (22500)------------------------------
% 0.61/0.76 % (22503)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 (2996ds/50Mi)
% 0.61/0.76 % (22504)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 (2996ds/208Mi)
% 0.61/0.76 % (22496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22484"
% 0.61/0.76 % (22496)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (22496)------------------------------
% 0.61/0.76 % (22496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (22496)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (22496)Memory used [KB]: 1078
% 0.61/0.76 % (22496)Time elapsed: 0.007 s
% 0.61/0.76 % (22496)Instructions burned: 9 (million)
% 0.61/0.76 % (22484)Success in time 0.387 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------