TSTP Solution File: LCL157-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Wed May  1 03:11:09 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  43 unt;   0 def)
%            Number of atoms       :   43 (  42 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f579,plain,
    $false,
    inference(trivial_inequality_removal,[],[f578]) ).

fof(f578,plain,
    falsehood != falsehood,
    inference(superposition,[],[f560,f16]) ).

fof(f16,axiom,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',false_definition) ).

fof(f560,plain,
    not(truth) != falsehood,
    inference(superposition,[],[f352,f527]) ).

fof(f527,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(forward_demodulation,[],[f526,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',wajsberg_1) ).

fof(f526,plain,
    ! [X0] : truth = implies(implies(truth,X0),truth),
    inference(forward_demodulation,[],[f525,f121]) ).

fof(f121,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(forward_demodulation,[],[f112,f1]) ).

fof(f112,plain,
    ! [X0] : truth = implies(implies(truth,X0),X0),
    inference(superposition,[],[f79,f99]) ).

fof(f99,plain,
    truth = not(falsehood),
    inference(superposition,[],[f97,f1]) ).

fof(f97,plain,
    truth = implies(truth,not(falsehood)),
    inference(superposition,[],[f79,f91]) ).

fof(f91,plain,
    truth = implies(not(falsehood),not(falsehood)),
    inference(superposition,[],[f79,f37]) ).

fof(f37,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',wajsberg_3) ).

fof(f79,plain,
    ! [X0] : truth = implies(implies(not(falsehood),X0),X0),
    inference(superposition,[],[f73,f22]) ).

fof(f22,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
    inference(definition_unfolding,[],[f7,f5,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',or_definition) ).

fof(f7,axiom,
    ! [X0,X1] : or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',or_commutativity) ).

fof(f73,plain,
    ! [X0] : truth = implies(implies(not(X0),falsehood),X0),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0)),
    inference(superposition,[],[f4,f16]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',wajsberg_4) ).

fof(f525,plain,
    ! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),truth),
    inference(forward_demodulation,[],[f425,f130]) ).

fof(f130,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(superposition,[],[f121,f37]) ).

fof(f425,plain,
    ! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),implies(implies(X0,truth),truth)),
    inference(superposition,[],[f2,f78]) ).

fof(f78,plain,
    truth = implies(implies(falsehood,falsehood),truth),
    inference(superposition,[],[f73,f16]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',wajsberg_2) ).

fof(f352,plain,
    falsehood != not(implies(x,truth)),
    inference(forward_demodulation,[],[f336,f99]) ).

fof(f336,plain,
    falsehood != not(implies(x,not(falsehood))),
    inference(superposition,[],[f28,f328]) ).

fof(f328,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(forward_demodulation,[],[f327,f1]) ).

fof(f327,plain,
    ! [X0] : implies(truth,X0) = not(not(X0)),
    inference(forward_demodulation,[],[f326,f1]) ).

fof(f326,plain,
    ! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
    inference(forward_demodulation,[],[f317,f153]) ).

fof(f153,plain,
    ! [X0] : truth = implies(not(not(X0)),X0),
    inference(forward_demodulation,[],[f152,f1]) ).

fof(f152,plain,
    ! [X0] : truth = implies(implies(truth,not(not(X0))),X0),
    inference(forward_demodulation,[],[f147,f99]) ).

fof(f147,plain,
    ! [X0] : truth = implies(implies(not(falsehood),not(not(X0))),X0),
    inference(superposition,[],[f4,f128]) ).

fof(f128,plain,
    ! [X0] : implies(not(X0),falsehood) = X0,
    inference(forward_demodulation,[],[f119,f1]) ).

fof(f119,plain,
    ! [X0] : implies(truth,X0) = implies(not(X0),falsehood),
    inference(superposition,[],[f22,f99]) ).

fof(f317,plain,
    ! [X0] : implies(truth,not(not(X0))) = implies(implies(not(not(X0)),X0),X0),
    inference(superposition,[],[f3,f299]) ).

fof(f299,plain,
    ! [X0] : truth = implies(X0,not(not(X0))),
    inference(superposition,[],[f208,f1]) ).

fof(f208,plain,
    ! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
    inference(superposition,[],[f4,f153]) ).

fof(f28,plain,
    falsehood != not(implies(not(not(x)),not(falsehood))),
    inference(definition_unfolding,[],[f17,f20]) ).

fof(f20,plain,
    ! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
    inference(definition_unfolding,[],[f13,f5]) ).

fof(f13,axiom,
    ! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',and_star_definition) ).

fof(f17,axiom,
    falsehood != and_star(x,falsehood),
    file('/export/starexec/sandbox2/tmp/tmp.lD9Y1mRc8N/Vampire---4.8_14716',prove_alternative_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n026.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   : Tue Apr 30 17:07:05 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  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.lD9Y1mRc8N/Vampire---4.8_14716
% 0.55/0.73  % (14996)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)
% 0.55/0.73  % (14996)Refutation not found, incomplete strategy% (14996)------------------------------
% 0.55/0.73  % (14996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14996)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14996)Memory used [KB]: 979
% 0.55/0.73  % (14996)Time elapsed: 0.001 s
% 0.55/0.73  % (14996)Instructions burned: 2 (million)
% 0.55/0.73  % (14996)------------------------------
% 0.55/0.73  % (14996)------------------------------
% 0.55/0.73  % (14989)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)
% 0.55/0.73  % (14991)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (14990)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)
% 0.55/0.73  % (14992)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)
% 0.55/0.73  % (14994)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)
% 0.55/0.73  % (14993)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)
% 0.55/0.73  % (14995)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)
% 0.55/0.73  % (14989)Refutation not found, incomplete strategy% (14989)------------------------------
% 0.55/0.73  % (14989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14989)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14993)Refutation not found, incomplete strategy% (14993)------------------------------
% 0.55/0.73  % (14993)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14993)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14992)Refutation not found, incomplete strategy% (14992)------------------------------
% 0.55/0.73  % (14992)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14993)Memory used [KB]: 992
% 0.55/0.73  % (14992)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14993)Time elapsed: 0.002 s
% 0.55/0.73  % (14992)Memory used [KB]: 982
% 0.55/0.73  % (14993)Instructions burned: 2 (million)
% 0.55/0.73  % (14992)Time elapsed: 0.002 s
% 0.55/0.73  % (14993)------------------------------
% 0.55/0.73  % (14993)------------------------------
% 0.55/0.73  % (14992)Instructions burned: 2 (million)
% 0.55/0.73  % (14992)------------------------------
% 0.55/0.73  % (14992)------------------------------
% 0.55/0.73  % (14989)Memory used [KB]: 994
% 0.55/0.73  % (14989)Time elapsed: 0.003 s
% 0.55/0.73  % (14989)Instructions burned: 2 (million)
% 0.55/0.73  % (14989)------------------------------
% 0.55/0.73  % (14989)------------------------------
% 0.55/0.73  % (14994)Refutation not found, incomplete strategy% (14994)------------------------------
% 0.55/0.73  % (14994)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14994)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14994)Memory used [KB]: 982
% 0.55/0.73  % (14994)Time elapsed: 0.003 s
% 0.55/0.73  % (14994)Instructions burned: 3 (million)
% 0.55/0.73  % (14994)------------------------------
% 0.55/0.73  % (14994)------------------------------
% 0.55/0.73  % (14995)Refutation not found, incomplete strategy% (14995)------------------------------
% 0.55/0.73  % (14995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (14995)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (14995)Memory used [KB]: 983
% 0.55/0.73  % (14995)Time elapsed: 0.003 s
% 0.55/0.73  % (14995)Instructions burned: 3 (million)
% 0.55/0.73  % (14995)------------------------------
% 0.55/0.73  % (14995)------------------------------
% 0.55/0.73  % (14997)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)
% 0.55/0.74  % (14999)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)
% 0.55/0.74  % (14998)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)
% 0.55/0.74  % (15000)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)
% 0.55/0.74  % (15001)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)
% 0.55/0.74  % (15002)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)
% 0.55/0.74  % (14998)Refutation not found, incomplete strategy% (14998)------------------------------
% 0.55/0.74  % (14998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (14998)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (14998)Memory used [KB]: 979
% 0.55/0.74  % (14998)Time elapsed: 0.003 s
% 0.55/0.74  % (14998)Instructions burned: 3 (million)
% 0.55/0.74  % (14998)------------------------------
% 0.55/0.74  % (14998)------------------------------
% 0.55/0.74  % (15002)Refutation not found, incomplete strategy% (15002)------------------------------
% 0.55/0.74  % (15002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (15002)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (15002)Memory used [KB]: 977
% 0.55/0.74  % (15002)Time elapsed: 0.002 s
% 0.55/0.74  % (15002)Instructions burned: 2 (million)
% 0.55/0.74  % (15002)------------------------------
% 0.55/0.74  % (15002)------------------------------
% 0.55/0.74  % (14990)First to succeed.
% 0.55/0.74  % (15005)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)
% 0.55/0.74  % (15006)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)
% 0.55/0.75  % (14990)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (14990)------------------------------
% 0.55/0.75  % (14990)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (14990)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (14990)Memory used [KB]: 1167
% 0.55/0.75  % (14990)Time elapsed: 0.013 s
% 0.55/0.75  % (14990)Instructions burned: 22 (million)
% 0.55/0.75  % (14990)------------------------------
% 0.55/0.75  % (14990)------------------------------
% 0.55/0.75  % (14823)Success in time 0.384 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------