TSTP Solution File: LCL154-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL154-1 : 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 : Sun May  5 07:33:32 EDT 2024

% Result   : Unsatisfiable 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            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 :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f512,plain,
    $false,
    inference(trivial_inequality_removal,[],[f501]) ).

fof(f501,plain,
    x != x,
    inference(superposition,[],[f400,f462]) ).

fof(f462,plain,
    ! [X0] : implies(implies(falsehood,X0),X0) = X0,
    inference(forward_demodulation,[],[f461,f351]) ).

fof(f351,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(forward_demodulation,[],[f350,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',wajsberg_1) ).

fof(f350,plain,
    ! [X0] : implies(truth,X0) = not(not(X0)),
    inference(forward_demodulation,[],[f349,f1]) ).

fof(f349,plain,
    ! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
    inference(forward_demodulation,[],[f340,f176]) ).

fof(f176,plain,
    ! [X0] : truth = implies(not(not(X0)),X0),
    inference(forward_demodulation,[],[f175,f1]) ).

fof(f175,plain,
    ! [X0] : truth = implies(implies(truth,not(not(X0))),X0),
    inference(forward_demodulation,[],[f170,f101]) ).

fof(f101,plain,
    truth = not(falsehood),
    inference(superposition,[],[f99,f1]) ).

fof(f99,plain,
    truth = implies(truth,not(falsehood)),
    inference(superposition,[],[f81,f93]) ).

fof(f93,plain,
    truth = implies(not(falsehood),not(falsehood)),
    inference(superposition,[],[f81,f39]) ).

fof(f39,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.FpumUj1oRn/Vampire---4.8_25875',wajsberg_3) ).

fof(f81,plain,
    ! [X0] : truth = implies(implies(not(falsehood),X0),X0),
    inference(superposition,[],[f75,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.FpumUj1oRn/Vampire---4.8_25875',or_definition) ).

fof(f7,axiom,
    ! [X0,X1] : or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',or_commutativity) ).

fof(f75,plain,
    ! [X0] : truth = implies(implies(not(X0),falsehood),X0),
    inference(forward_demodulation,[],[f62,f1]) ).

fof(f62,plain,
    ! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0)),
    inference(superposition,[],[f4,f16]) ).

fof(f16,axiom,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',false_definition) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',wajsberg_4) ).

fof(f170,plain,
    ! [X0] : truth = implies(implies(not(falsehood),not(not(X0))),X0),
    inference(superposition,[],[f4,f133]) ).

fof(f133,plain,
    ! [X0] : implies(not(X0),falsehood) = X0,
    inference(forward_demodulation,[],[f122,f1]) ).

fof(f122,plain,
    ! [X0] : implies(truth,X0) = implies(not(X0),falsehood),
    inference(superposition,[],[f22,f101]) ).

fof(f340,plain,
    ! [X0] : implies(truth,not(not(X0))) = implies(implies(not(not(X0)),X0),X0),
    inference(superposition,[],[f3,f322]) ).

fof(f322,plain,
    ! [X0] : truth = implies(X0,not(not(X0))),
    inference(superposition,[],[f231,f1]) ).

fof(f231,plain,
    ! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
    inference(superposition,[],[f4,f176]) ).

fof(f461,plain,
    ! [X0] : not(not(X0)) = implies(implies(falsehood,X0),X0),
    inference(forward_demodulation,[],[f429,f387]) ).

fof(f387,plain,
    ! [X0] : not(X0) = implies(X0,falsehood),
    inference(superposition,[],[f133,f351]) ).

fof(f429,plain,
    ! [X0] : implies(implies(falsehood,X0),X0) = not(implies(X0,falsehood)),
    inference(superposition,[],[f387,f3]) ).

fof(f400,plain,
    x != implies(implies(falsehood,x),x),
    inference(forward_demodulation,[],[f399,f351]) ).

fof(f399,plain,
    x != implies(implies(falsehood,not(not(x))),not(not(x))),
    inference(forward_demodulation,[],[f398,f133]) ).

fof(f398,plain,
    x != implies(implies(falsehood,not(not(x))),not(implies(not(not(x)),falsehood))),
    inference(forward_demodulation,[],[f364,f351]) ).

fof(f364,plain,
    x != implies(implies(not(not(falsehood)),not(not(x))),not(implies(not(not(x)),not(not(falsehood))))),
    inference(superposition,[],[f33,f351]) ).

fof(f33,plain,
    x != implies(not(not(implies(not(not(falsehood)),not(not(x))))),not(implies(not(not(x)),not(not(falsehood))))),
    inference(superposition,[],[f31,f22]) ).

fof(f31,plain,
    x != implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(not(not(falsehood)),not(not(x))))),
    inference(superposition,[],[f28,f22]) ).

fof(f28,plain,
    x != implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(not(not(not(x))),not(falsehood)))),
    inference(definition_unfolding,[],[f17,f19]) ).

fof(f19,plain,
    ! [X0,X1] : xor(X0,X1) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
    inference(definition_unfolding,[],[f11,f5,f18,f18]) ).

fof(f18,plain,
    ! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
    inference(definition_unfolding,[],[f8,f5]) ).

fof(f8,axiom,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',and_definition) ).

fof(f11,axiom,
    ! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',xor_definition) ).

fof(f17,axiom,
    x != xor(x,falsehood),
    file('/export/starexec/sandbox2/tmp/tmp.FpumUj1oRn/Vampire---4.8_25875',prove_alternative_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : LCL154-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12  % 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
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 13:50:36 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.33  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.FpumUj1oRn/Vampire---4.8_25875
% 0.59/0.78  % (25986)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)
% 0.59/0.78  % (25985)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.78  % (25987)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)
% 0.59/0.78  % (25989)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)
% 0.59/0.78  % (25983)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)
% 0.59/0.78  % (25984)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)
% 0.59/0.78  % (25988)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)
% 0.59/0.78  % (25990)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)
% 0.59/0.78  % (25987)Refutation not found, incomplete strategy% (25987)------------------------------
% 0.59/0.78  % (25987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25987)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25986)Refutation not found, incomplete strategy% (25986)------------------------------
% 0.59/0.78  % (25986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25986)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25986)Memory used [KB]: 980
% 0.59/0.78  % (25986)Time elapsed: 0.002 s
% 0.59/0.78  % (25983)Refutation not found, incomplete strategy% (25983)------------------------------
% 0.59/0.78  % (25983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25986)Instructions burned: 2 (million)
% 0.59/0.78  % (25983)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25983)Memory used [KB]: 993
% 0.59/0.78  % (25983)Time elapsed: 0.003 s
% 0.59/0.78  % (25983)Instructions burned: 2 (million)
% 0.59/0.78  % (25987)Memory used [KB]: 993
% 0.59/0.78  % (25987)Time elapsed: 0.002 s
% 0.59/0.78  % (25987)Instructions burned: 2 (million)
% 0.59/0.78  % (25990)Refutation not found, incomplete strategy% (25990)------------------------------
% 0.59/0.78  % (25990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25990)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25990)Memory used [KB]: 980
% 0.59/0.78  % (25990)Time elapsed: 0.002 s
% 0.59/0.78  % (25990)Instructions burned: 2 (million)
% 0.59/0.78  % (25986)------------------------------
% 0.59/0.78  % (25986)------------------------------
% 0.59/0.78  % (25983)------------------------------
% 0.59/0.78  % (25983)------------------------------
% 0.59/0.78  % (25987)------------------------------
% 0.59/0.78  % (25987)------------------------------
% 0.59/0.78  % (25990)------------------------------
% 0.59/0.78  % (25990)------------------------------
% 0.59/0.78  % (25989)Refutation not found, incomplete strategy% (25989)------------------------------
% 0.59/0.78  % (25989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25989)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25989)Memory used [KB]: 987
% 0.59/0.78  % (25989)Time elapsed: 0.003 s
% 0.59/0.78  % (25988)Refutation not found, incomplete strategy% (25988)------------------------------
% 0.59/0.78  % (25988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25988)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25988)Memory used [KB]: 986
% 0.59/0.78  % (25988)Time elapsed: 0.003 s
% 0.59/0.78  % (25988)Instructions burned: 3 (million)
% 0.59/0.78  % (25989)Instructions burned: 4 (million)
% 0.59/0.78  % (25988)------------------------------
% 0.59/0.78  % (25988)------------------------------
% 0.59/0.78  % (25989)------------------------------
% 0.59/0.78  % (25989)------------------------------
% 0.59/0.79  % (25991)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)
% 0.59/0.79  % (25993)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)
% 0.59/0.79  % (25992)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)
% 0.59/0.79  % (25994)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)
% 0.59/0.79  % (25995)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)
% 0.59/0.79  % (25996)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)
% 0.59/0.79  % (25996)Refutation not found, incomplete strategy% (25996)------------------------------
% 0.59/0.79  % (25996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25996)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25996)Memory used [KB]: 977
% 0.59/0.79  % (25996)Time elapsed: 0.002 s
% 0.59/0.79  % (25992)Refutation not found, incomplete strategy% (25992)------------------------------
% 0.59/0.79  % (25992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25996)Instructions burned: 2 (million)
% 0.59/0.79  % (25992)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25992)Memory used [KB]: 983
% 0.59/0.79  % (25992)Time elapsed: 0.002 s
% 0.59/0.79  % (25992)Instructions burned: 3 (million)
% 0.59/0.79  % (25991)Refutation not found, incomplete strategy% (25991)------------------------------
% 0.59/0.79  % (25991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25991)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25991)Memory used [KB]: 987
% 0.59/0.79  % (25991)Time elapsed: 0.003 s
% 0.59/0.79  % (25991)Instructions burned: 3 (million)
% 0.59/0.79  % (25996)------------------------------
% 0.59/0.79  % (25996)------------------------------
% 0.59/0.79  % (25992)------------------------------
% 0.59/0.79  % (25992)------------------------------
% 0.59/0.79  % (25991)------------------------------
% 0.59/0.79  % (25991)------------------------------
% 0.59/0.79  % (25993)Refutation not found, incomplete strategy% (25993)------------------------------
% 0.59/0.79  % (25993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25993)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25993)Memory used [KB]: 1055
% 0.59/0.79  % (25993)Time elapsed: 0.003 s
% 0.59/0.79  % (25993)Instructions burned: 4 (million)
% 0.59/0.79  % (25993)------------------------------
% 0.59/0.79  % (25993)------------------------------
% 0.59/0.79  % (25984)First to succeed.
% 0.59/0.79  % (25984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25982"
% 0.59/0.79  % (25997)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)
% 0.59/0.79  % (25998)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)
% 0.59/0.79  % (25999)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 (2995ds/143Mi)
% 0.59/0.79  % (25984)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (25984)------------------------------
% 0.59/0.79  % (25984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25984)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (25984)Memory used [KB]: 1094
% 0.59/0.79  % (25984)Time elapsed: 0.011 s
% 0.59/0.79  % (25984)Instructions burned: 19 (million)
% 0.59/0.79  % (25982)Success in time 0.452 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------