TSTP Solution File: GRP186-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : 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 : Wed May 1 02:27:59 EDT 2024
% Result : Unsatisfiable 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 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 : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1219,plain,
$false,
inference(subsumption_resolution,[],[f1218,f22]) ).
fof(f22,plain,
sF1 != sF4,
inference(definition_folding,[],[f16,f21,f20,f19,f18,f17]) ).
fof(f17,plain,
multiply(a,b) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f18,plain,
least_upper_bound(sF0,identity) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f19,plain,
inverse(a) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f20,plain,
least_upper_bound(sF2,b) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f21,plain,
multiply(a,sF3) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f16,axiom,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',prove_p23x) ).
fof(f1218,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f1217,f18]) ).
fof(f1217,plain,
least_upper_bound(sF0,identity) = sF4,
inference(forward_demodulation,[],[f1216,f21]) ).
fof(f1216,plain,
least_upper_bound(sF0,identity) = multiply(a,sF3),
inference(forward_demodulation,[],[f1196,f25]) ).
fof(f25,plain,
sF3 = least_upper_bound(b,sF2),
inference(superposition,[],[f5,f20]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',symmetry_of_lub) ).
fof(f1196,plain,
least_upper_bound(sF0,identity) = multiply(a,least_upper_bound(b,sF2)),
inference(superposition,[],[f79,f1117]) ).
fof(f1117,plain,
identity = multiply(a,sF2),
inference(superposition,[],[f191,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',left_inverse) ).
fof(f191,plain,
! [X0] : multiply(a,X0) = multiply(inverse(sF2),X0),
inference(superposition,[],[f50,f51]) ).
fof(f51,plain,
! [X0] : multiply(sF2,multiply(a,X0)) = X0,
inference(forward_demodulation,[],[f47,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',left_identity) ).
fof(f47,plain,
! [X0] : multiply(identity,X0) = multiply(sF2,multiply(a,X0)),
inference(superposition,[],[f3,f23]) ).
fof(f23,plain,
identity = multiply(sF2,a),
inference(superposition,[],[f2,f19]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',associativity) ).
fof(f50,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f44,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f79,plain,
! [X0] : multiply(a,least_upper_bound(b,X0)) = least_upper_bound(sF0,multiply(a,X0)),
inference(superposition,[],[f12,f17]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848',monotony_lub1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n002.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 : Tue Apr 30 18:40:25 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CorvrRkFk5/Vampire---4.8_10848
% 0.55/0.76 % (11093)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)
% 0.55/0.76 % (11090)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)
% 0.55/0.76 % (11091)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)
% 0.55/0.76 % (11093)Refutation not found, incomplete strategy% (11093)------------------------------
% 0.55/0.76 % (11093)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (11093)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (11093)Memory used [KB]: 971
% 0.55/0.76 % (11093)Time elapsed: 0.002 s
% 0.55/0.76 % (11093)Instructions burned: 2 (million)
% 0.55/0.76 % (11093)------------------------------
% 0.55/0.76 % (11093)------------------------------
% 0.55/0.76 % (11087)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)
% 0.55/0.76 % (11088)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)
% 0.55/0.76 % (11090)Refutation not found, incomplete strategy% (11090)------------------------------
% 0.55/0.76 % (11090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (11090)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (11090)Memory used [KB]: 981
% 0.55/0.76 % (11090)Time elapsed: 0.002 s
% 0.55/0.76 % (11090)Instructions burned: 2 (million)
% 0.55/0.76 % (11089)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (11090)------------------------------
% 0.55/0.76 % (11090)------------------------------
% 0.55/0.76 % (11092)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)
% 0.55/0.76 % (11091)Refutation not found, incomplete strategy% (11091)------------------------------
% 0.55/0.76 % (11091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (11091)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (11091)Memory used [KB]: 983
% 0.55/0.76 % (11091)Time elapsed: 0.003 s
% 0.55/0.76 % (11091)Instructions burned: 2 (million)
% 0.55/0.76 % (11091)------------------------------
% 0.55/0.76 % (11091)------------------------------
% 0.55/0.76 % (11087)Refutation not found, incomplete strategy% (11087)------------------------------
% 0.55/0.76 % (11087)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (11087)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (11087)Memory used [KB]: 984
% 0.55/0.76 % (11087)Time elapsed: 0.003 s
% 0.55/0.76 % (11087)Instructions burned: 3 (million)
% 0.55/0.76 % (11087)------------------------------
% 0.55/0.76 % (11087)------------------------------
% 0.55/0.76 % (11092)Refutation not found, incomplete strategy% (11092)------------------------------
% 0.55/0.76 % (11092)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (11092)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (11092)Memory used [KB]: 969
% 0.55/0.76 % (11092)Time elapsed: 0.002 s
% 0.55/0.76 % (11092)Instructions burned: 2 (million)
% 0.55/0.76 % (11092)------------------------------
% 0.55/0.76 % (11092)------------------------------
% 0.61/0.76 % (11094)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 % (11094)Refutation not found, incomplete strategy% (11094)------------------------------
% 0.61/0.76 % (11094)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (11094)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (11094)Memory used [KB]: 969
% 0.61/0.76 % (11094)Time elapsed: 0.002 s
% 0.61/0.76 % (11094)Instructions burned: 2 (million)
% 0.61/0.76 % (11094)------------------------------
% 0.61/0.76 % (11094)------------------------------
% 0.61/0.76 % (11096)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 % (11095)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 % (11096)Refutation not found, incomplete strategy% (11096)------------------------------
% 0.61/0.76 % (11096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (11096)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (11096)Memory used [KB]: 968
% 0.61/0.76 % (11096)Time elapsed: 0.002 s
% 0.61/0.76 % (11096)Instructions burned: 2 (million)
% 0.61/0.76 % (11096)------------------------------
% 0.61/0.76 % (11096)------------------------------
% 0.61/0.76 % (11097)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 % (11098)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)
% 0.61/0.76 % (11099)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)
% 0.61/0.76 % (11099)Refutation not found, incomplete strategy% (11099)------------------------------
% 0.61/0.76 % (11099)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (11099)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (11099)Memory used [KB]: 970
% 0.61/0.76 % (11099)Time elapsed: 0.003 s
% 0.61/0.76 % (11099)Instructions burned: 2 (million)
% 0.61/0.76 % (11099)------------------------------
% 0.61/0.76 % (11099)------------------------------
% 0.61/0.78 % (11100)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)
% 0.61/0.78 % (11101)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)
% 0.61/0.78 % (11100)Refutation not found, incomplete strategy% (11100)------------------------------
% 0.61/0.78 % (11100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (11100)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (11100)Memory used [KB]: 967
% 0.61/0.78 % (11100)Time elapsed: 0.002 s
% 0.61/0.78 % (11100)Instructions burned: 2 (million)
% 0.61/0.78 % (11100)------------------------------
% 0.61/0.78 % (11100)------------------------------
% 0.61/0.78 % (11102)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)
% 0.61/0.78 % (11102)Refutation not found, incomplete strategy% (11102)------------------------------
% 0.61/0.78 % (11102)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (11102)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (11102)Memory used [KB]: 969
% 0.61/0.78 % (11102)Time elapsed: 0.003 s
% 0.61/0.78 % (11102)Instructions burned: 2 (million)
% 0.61/0.78 % (11102)------------------------------
% 0.61/0.78 % (11102)------------------------------
% 0.61/0.78 % (11103)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)
% 0.61/0.78 % (11103)Refutation not found, incomplete strategy% (11103)------------------------------
% 0.61/0.78 % (11103)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (11103)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (11103)Memory used [KB]: 989
% 0.61/0.78 % (11103)Time elapsed: 0.026 s
% 0.61/0.78 % (11103)Instructions burned: 3 (million)
% 0.61/0.78 % (11103)------------------------------
% 0.61/0.78 % (11103)------------------------------
% 0.61/0.78 % (11097)First to succeed.
% 0.61/0.78 % (11105)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.78 % (11095)Also succeeded, but the first one will report.
% 0.61/0.78 % (11104)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.61/0.79 % (11097)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (11097)------------------------------
% 0.61/0.79 % (11097)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (11097)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (11097)Memory used [KB]: 1574
% 0.61/0.79 % (11097)Time elapsed: 0.022 s
% 0.61/0.79 % (11097)Instructions burned: 69 (million)
% 0.61/0.79 % (11097)------------------------------
% 0.61/0.79 % (11097)------------------------------
% 0.61/0.79 % (11083)Success in time 0.413 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------