TSTP Solution File: GRP446-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n002.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 05:48:21 EDT 2024
% Result : Unsatisfiable 0.66s 0.80s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f413,plain,
$false,
inference(subsumption_resolution,[],[f397,f8]) ).
fof(f8,plain,
a2 != sF2,
inference(definition_folding,[],[f4,f7,f6,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f6,plain,
multiply(sF0,b2) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f7,plain,
multiply(sF1,a2) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/tmp/tmp.nehVilBQ2v/Vampire---4.8_28564',prove_these_axioms_2) ).
fof(f397,plain,
a2 = sF2,
inference(superposition,[],[f291,f58]) ).
fof(f58,plain,
sF2 = inverse(inverse(a2)),
inference(superposition,[],[f36,f7]) ).
fof(f36,plain,
! [X0] : inverse(inverse(X0)) = multiply(sF1,X0),
inference(superposition,[],[f35,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/tmp/tmp.nehVilBQ2v/Vampire---4.8_28564',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/tmp/tmp.nehVilBQ2v/Vampire---4.8_28564',multiply) ).
fof(f35,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(superposition,[],[f3,f17]) ).
fof(f17,plain,
sF1 = divide(sF0,sF0),
inference(superposition,[],[f13,f6]) ).
fof(f13,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF0),
inference(superposition,[],[f9,f5]) ).
fof(f291,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f290,f240]) ).
fof(f240,plain,
! [X0] : divide(X0,sF1) = X0,
inference(superposition,[],[f11,f224]) ).
fof(f224,plain,
! [X0] : divide(X0,X0) = sF1,
inference(forward_demodulation,[],[f208,f223]) ).
fof(f223,plain,
! [X0] : sF1 = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f207,f35]) ).
fof(f207,plain,
! [X0] : sF1 = inverse(multiply(divide(sF1,X0),X0)),
inference(superposition,[],[f32,f102]) ).
fof(f102,plain,
sF1 = inverse(sF1),
inference(forward_demodulation,[],[f93,f79]) ).
fof(f79,plain,
! [X0,X1] : sF1 = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
inference(superposition,[],[f11,f38]) ).
fof(f38,plain,
! [X0] : inverse(X0) = divide(inverse(sF1),X0),
inference(superposition,[],[f3,f35]) ).
fof(f93,plain,
! [X0,X1] : inverse(sF1) = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
inference(superposition,[],[f11,f45]) ).
fof(f45,plain,
! [X0] : inverse(X0) = divide(inverse(inverse(sF1)),X0),
inference(superposition,[],[f12,f35]) ).
fof(f12,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f32,plain,
! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(forward_demodulation,[],[f31,f9]) ).
fof(f31,plain,
! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(forward_demodulation,[],[f26,f12]) ).
fof(f26,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
inference(superposition,[],[f11,f3]) ).
fof(f208,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f32,f12]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.nehVilBQ2v/Vampire---4.8_28564',single_axiom) ).
fof(f290,plain,
! [X0] : inverse(divide(inverse(X0),sF1)) = X0,
inference(forward_demodulation,[],[f277,f129]) ).
fof(f129,plain,
! [X0] : multiply(X0,sF1) = divide(X0,sF1),
inference(superposition,[],[f9,f102]) ).
fof(f277,plain,
! [X0] : inverse(multiply(inverse(X0),sF1)) = X0,
inference(superposition,[],[f32,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % 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
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:49:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 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.nehVilBQ2v/Vampire---4.8_28564
% 0.58/0.79 % (28741)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)
% 0.58/0.79 % (28744)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)
% 0.58/0.79 % (28746)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)
% 0.58/0.79 % (28747)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)
% 0.58/0.79 % (28743)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.79 % (28742)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)
% 0.58/0.79 % (28745)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)
% 0.58/0.79 % (28748)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)
% 0.58/0.79 % (28741)Refutation not found, incomplete strategy% (28741)------------------------------
% 0.58/0.79 % (28741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28741)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28741)Memory used [KB]: 963
% 0.58/0.79 % (28741)Time elapsed: 0.002 s
% 0.58/0.79 % (28741)Instructions burned: 2 (million)
% 0.58/0.79 % (28744)Refutation not found, incomplete strategy% (28744)------------------------------
% 0.58/0.79 % (28744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28744)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28744)Memory used [KB]: 957
% 0.58/0.79 % (28744)Time elapsed: 0.002 s
% 0.58/0.79 % (28741)------------------------------
% 0.58/0.79 % (28741)------------------------------
% 0.58/0.79 % (28744)Instructions burned: 2 (million)
% 0.58/0.79 % (28745)Refutation not found, incomplete strategy% (28745)------------------------------
% 0.58/0.79 % (28745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28747)Refutation not found, incomplete strategy% (28747)------------------------------
% 0.58/0.79 % (28747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28747)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28747)Memory used [KB]: 949
% 0.58/0.79 % (28747)Time elapsed: 0.002 s
% 0.58/0.79 % (28747)Instructions burned: 2 (million)
% 0.58/0.79 % (28745)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28748)Refutation not found, incomplete strategy% (28748)------------------------------
% 0.58/0.79 % (28748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28745)Memory used [KB]: 961
% 0.58/0.79 % (28745)Time elapsed: 0.003 s
% 0.58/0.79 % (28745)Instructions burned: 2 (million)
% 0.58/0.79 % (28748)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28748)Memory used [KB]: 948
% 0.58/0.79 % (28748)Time elapsed: 0.002 s
% 0.58/0.79 % (28748)Instructions burned: 2 (million)
% 0.58/0.79 % (28744)------------------------------
% 0.58/0.79 % (28744)------------------------------
% 0.58/0.79 % (28747)------------------------------
% 0.58/0.79 % (28747)------------------------------
% 0.58/0.79 % (28745)------------------------------
% 0.58/0.79 % (28745)------------------------------
% 0.58/0.79 % (28748)------------------------------
% 0.58/0.79 % (28748)------------------------------
% 0.58/0.79 % (28750)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)
% 0.58/0.79 % (28746)Refutation not found, incomplete strategy% (28746)------------------------------
% 0.58/0.79 % (28746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28746)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28746)Memory used [KB]: 1027
% 0.58/0.79 % (28746)Time elapsed: 0.005 s
% 0.58/0.79 % (28746)Instructions burned: 8 (million)
% 0.58/0.79 % (28746)------------------------------
% 0.58/0.79 % (28746)------------------------------
% 0.58/0.79 % (28751)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)
% 0.58/0.79 % (28752)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)
% 0.58/0.79 % (28754)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)
% 0.58/0.79 % (28751)Refutation not found, incomplete strategy% (28751)------------------------------
% 0.58/0.79 % (28751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (28751)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.79
% 0.58/0.79 % (28751)Memory used [KB]: 947
% 0.58/0.79 % (28751)Time elapsed: 0.002 s
% 0.58/0.79 % (28751)Instructions burned: 2 (million)
% 0.58/0.79 % (28751)------------------------------
% 0.58/0.79 % (28751)------------------------------
% 0.66/0.79 % (28753)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)
% 0.66/0.80 % (28754)Refutation not found, incomplete strategy% (28754)------------------------------
% 0.66/0.80 % (28754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (28754)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (28754)Memory used [KB]: 1027
% 0.66/0.80 % (28754)Time elapsed: 0.005 s
% 0.66/0.80 % (28754)Instructions burned: 8 (million)
% 0.66/0.80 % (28756)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 (2995ds/243Mi)
% 0.66/0.80 % (28754)------------------------------
% 0.66/0.80 % (28754)------------------------------
% 0.66/0.80 % (28755)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 (2995ds/42Mi)
% 0.66/0.80 % (28755)Refutation not found, incomplete strategy% (28755)------------------------------
% 0.66/0.80 % (28755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (28755)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (28755)Memory used [KB]: 946
% 0.66/0.80 % (28755)Time elapsed: 0.002 s
% 0.66/0.80 % (28755)Instructions burned: 2 (million)
% 0.66/0.80 % (28755)------------------------------
% 0.66/0.80 % (28755)------------------------------
% 0.66/0.80 % (28752)First to succeed.
% 0.66/0.80 % (28752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28740"
% 0.66/0.80 % (28757)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 (2995ds/117Mi)
% 0.66/0.80 % (28752)Refutation found. Thanks to Tanya!
% 0.66/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.80 % (28752)------------------------------
% 0.66/0.80 % (28752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (28752)Termination reason: Refutation
% 0.66/0.80
% 0.66/0.80 % (28752)Memory used [KB]: 1156
% 0.66/0.80 % (28752)Time elapsed: 0.010 s
% 0.66/0.80 % (28752)Instructions burned: 18 (million)
% 0.66/0.80 % (28740)Success in time 0.428 s
% 0.66/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------