TSTP Solution File: GRP516-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP516-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n004.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 05:48:57 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f171,f3]) ).
fof(f3,plain,
~ sP0(multiply(a,b)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f171,plain,
sP0(multiply(a,b)),
inference(backward_demodulation,[],[f4,f170]) ).
fof(f170,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X2,X1),
inference(forward_demodulation,[],[f148,f141]) ).
fof(f141,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f109,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[],[f5,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/tmp/tmp.fIZg7ydnhM/Vampire---4.8_31625',single_axiom) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f109,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f59,f85]) ).
fof(f85,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X2,inverse(multiply(X0,X1)))),X1) = X2,
inference(superposition,[],[f59,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),multiply(X2,inverse(X0))),
inference(superposition,[],[f5,f23]) ).
fof(f23,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f5,f14]) ).
fof(f59,plain,
! [X3,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X3,inverse(X0))),inverse(X1))) = X3,
inference(backward_demodulation,[],[f6,f45]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X1,multiply(X3,inverse(X0))),
inference(superposition,[],[f38,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f148,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(X1,multiply(X2,inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f38,f109]) ).
fof(f4,plain,
sP0(multiply(b,a)),
inference(inequality_splitting,[],[f2,f3]) ).
fof(f2,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.fIZg7ydnhM/Vampire---4.8_31625',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP516-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n004.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 : Fri May 3 20:41:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 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.fIZg7ydnhM/Vampire---4.8_31625
% 0.57/0.74 % (31741)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)
% 0.57/0.74 % (31741)Refutation not found, incomplete strategy% (31741)------------------------------
% 0.57/0.74 % (31741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (31741)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (31741)Memory used [KB]: 947
% 0.57/0.74 % (31741)Time elapsed: 0.001 s
% 0.57/0.74 % (31741)Instructions burned: 2 (million)
% 0.57/0.74 % (31741)------------------------------
% 0.57/0.74 % (31741)------------------------------
% 0.57/0.74 % (31734)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)
% 0.57/0.74 % (31737)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)
% 0.57/0.74 % (31735)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)
% 0.57/0.74 % (31736)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (31739)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)
% 0.57/0.74 % (31740)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)
% 0.57/0.74 % (31738)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)
% 0.57/0.74 % (31737)Refutation not found, incomplete strategy% (31737)------------------------------
% 0.57/0.74 % (31737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (31737)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (31737)Memory used [KB]: 946
% 0.57/0.74 % (31737)Time elapsed: 0.003 s
% 0.57/0.74 % (31739)Refutation not found, incomplete strategy% (31739)------------------------------
% 0.57/0.74 % (31739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (31737)Instructions burned: 2 (million)
% 0.57/0.75 % (31739)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31739)Memory used [KB]: 946
% 0.57/0.75 % (31739)Time elapsed: 0.002 s
% 0.57/0.75 % (31739)Instructions burned: 2 (million)
% 0.57/0.75 % (31734)Refutation not found, incomplete strategy% (31734)------------------------------
% 0.57/0.75 % (31734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31734)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31734)Memory used [KB]: 961
% 0.57/0.75 % (31734)Time elapsed: 0.002 s
% 0.57/0.75 % (31734)Instructions burned: 2 (million)
% 0.57/0.75 % (31738)Refutation not found, incomplete strategy% (31738)------------------------------
% 0.57/0.75 % (31738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31738)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75 % (31740)Refutation not found, incomplete strategy% (31740)------------------------------
% 0.57/0.75 % (31740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31740)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31740)Memory used [KB]: 946
% 0.57/0.75 % (31740)Time elapsed: 0.002 s
% 0.57/0.75 % (31740)Instructions burned: 2 (million)
% 0.57/0.75
% 0.57/0.75 % (31738)Memory used [KB]: 961
% 0.57/0.75 % (31738)Time elapsed: 0.002 s
% 0.57/0.75 % (31737)------------------------------
% 0.57/0.75 % (31737)------------------------------
% 0.57/0.75 % (31738)Instructions burned: 2 (million)
% 0.57/0.75 % (31734)------------------------------
% 0.57/0.75 % (31734)------------------------------
% 0.57/0.75 % (31739)------------------------------
% 0.57/0.75 % (31739)------------------------------
% 0.57/0.75 % (31740)------------------------------
% 0.57/0.75 % (31740)------------------------------
% 0.57/0.75 % (31738)------------------------------
% 0.57/0.75 % (31738)------------------------------
% 0.57/0.75 % (31742)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)
% 0.57/0.75 % (31743)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)
% 0.57/0.75 % (31744)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)
% 0.57/0.75 % (31745)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 (2996ds/52Mi)
% 0.57/0.75 % (31746)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 (2996ds/518Mi)
% 0.57/0.75 % (31747)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.75 % (31743)Refutation not found, incomplete strategy% (31743)------------------------------
% 0.57/0.75 % (31743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31743)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31743)Memory used [KB]: 946
% 0.57/0.75 % (31743)Time elapsed: 0.002 s
% 0.57/0.75 % (31743)Instructions burned: 2 (million)
% 0.57/0.75 % (31746)Refutation not found, incomplete strategy% (31746)------------------------------
% 0.57/0.75 % (31746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31746)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31746)Memory used [KB]: 947
% 0.57/0.75 % (31746)Time elapsed: 0.003 s
% 0.57/0.75 % (31746)Instructions burned: 2 (million)
% 0.57/0.75 % (31747)Refutation not found, incomplete strategy% (31747)------------------------------
% 0.57/0.75 % (31747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (31743)------------------------------
% 0.57/0.75 % (31743)------------------------------
% 0.57/0.75 % (31747)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (31747)Memory used [KB]: 948
% 0.57/0.75 % (31747)Time elapsed: 0.002 s
% 0.57/0.75 % (31747)Instructions burned: 2 (million)
% 0.57/0.75 % (31746)------------------------------
% 0.57/0.75 % (31746)------------------------------
% 0.57/0.75 % (31747)------------------------------
% 0.57/0.75 % (31747)------------------------------
% 0.57/0.75 % (31748)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.76 % (31749)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.76 % (31742)First to succeed.
% 0.57/0.76 % (31750)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.76 % (31742)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31733"
% 0.57/0.76 % (31749)Refutation not found, incomplete strategy% (31749)------------------------------
% 0.57/0.76 % (31749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (31749)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (31749)Memory used [KB]: 947
% 0.57/0.76 % (31749)Time elapsed: 0.003 s
% 0.57/0.76 % (31749)Instructions burned: 2 (million)
% 0.57/0.76 % (31742)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (31742)------------------------------
% 0.57/0.76 % (31742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (31742)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (31742)Memory used [KB]: 1164
% 0.57/0.76 % (31742)Time elapsed: 0.010 s
% 0.57/0.76 % (31742)Instructions burned: 27 (million)
% 0.57/0.76 % (31733)Success in time 0.391 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------