TSTP Solution File: LCL158-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL158-1 : TPTP v8.2.0. 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 : n014.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 : Tue May 21 00:12:46 EDT 2024

% Result   : Unsatisfiable 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   54 (  54 unt;   0 def)
%            Number of atoms       :   54 (  53 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   15 (  15   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f643,plain,
    $false,
    inference(trivial_inequality_removal,[],[f642]) ).

fof(f642,plain,
    falsehood != falsehood,
    inference(superposition,[],[f514,f16]) ).

fof(f16,axiom,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).

fof(f514,plain,
    not(truth) != falsehood,
    inference(forward_demodulation,[],[f513,f138]) ).

fof(f138,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(forward_demodulation,[],[f121,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f121,plain,
    ! [X0] : truth = implies(implies(truth,X0),X0),
    inference(superposition,[],[f65,f106]) ).

fof(f106,plain,
    truth = not(falsehood),
    inference(superposition,[],[f104,f1]) ).

fof(f104,plain,
    truth = implies(truth,not(falsehood)),
    inference(superposition,[],[f65,f86]) ).

fof(f86,plain,
    truth = implies(not(falsehood),not(falsehood)),
    inference(superposition,[],[f44,f65]) ).

fof(f44,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/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f65,plain,
    ! [X0] : truth = implies(implies(not(falsehood),X0),X0),
    inference(superposition,[],[f61,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/benchmark/theBenchmark.p',or_definition) ).

fof(f7,axiom,
    ! [X0,X1] : or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).

fof(f61,plain,
    ! [X0] : truth = implies(implies(not(X0),falsehood),X0),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,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/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f513,plain,
    falsehood != not(implies(not(not(x)),not(not(x)))),
    inference(forward_demodulation,[],[f512,f1]) ).

fof(f512,plain,
    falsehood != not(implies(not(not(x)),implies(truth,not(not(x))))),
    inference(forward_demodulation,[],[f511,f438]) ).

fof(f438,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(forward_demodulation,[],[f407,f367]) ).

fof(f367,plain,
    ! [X0] : not(X0) = implies(X0,falsehood),
    inference(superposition,[],[f319,f143]) ).

fof(f143,plain,
    ! [X0] : implies(not(X0),falsehood) = X0,
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ! [X0] : implies(truth,X0) = implies(not(X0),falsehood),
    inference(superposition,[],[f22,f106]) ).

fof(f319,plain,
    ! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
    inference(forward_demodulation,[],[f308,f1]) ).

fof(f308,plain,
    ! [X0] : implies(truth,X0) = implies(implies(X0,falsehood),falsehood),
    inference(superposition,[],[f3,f266]) ).

fof(f266,plain,
    ! [X0] : truth = implies(falsehood,X0),
    inference(superposition,[],[f253,f30]) ).

fof(f30,plain,
    ! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
    inference(superposition,[],[f22,f16]) ).

fof(f253,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(forward_demodulation,[],[f252,f1]) ).

fof(f252,plain,
    ! [X0] : truth = implies(implies(truth,X0),truth),
    inference(forward_demodulation,[],[f251,f138]) ).

fof(f251,plain,
    ! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),truth),
    inference(forward_demodulation,[],[f196,f147]) ).

fof(f147,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(superposition,[],[f138,f44]) ).

fof(f196,plain,
    ! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),implies(implies(X0,truth),truth)),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    truth = implies(implies(falsehood,falsehood),truth),
    inference(superposition,[],[f61,f16]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).

fof(f407,plain,
    ! [X0] : not(implies(X0,falsehood)) = X0,
    inference(superposition,[],[f367,f319]) ).

fof(f511,plain,
    falsehood != not(implies(not(not(x)),not(not(implies(truth,not(not(x))))))),
    inference(forward_demodulation,[],[f510,f367]) ).

fof(f510,plain,
    falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),falsehood)))),
    inference(forward_demodulation,[],[f509,f16]) ).

fof(f509,plain,
    falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),not(truth))))),
    inference(forward_demodulation,[],[f508,f266]) ).

fof(f508,plain,
    falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),not(implies(falsehood,not(x))))))),
    inference(forward_demodulation,[],[f507,f30]) ).

fof(f507,plain,
    falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),not(implies(not(not(x)),truth)))))),
    inference(forward_demodulation,[],[f474,f106]) ).

fof(f474,plain,
    falsehood != not(implies(not(not(x)),not(implies(implies(not(falsehood),not(not(x))),not(implies(not(not(x)),not(falsehood))))))),
    inference(superposition,[],[f36,f438]) ).

fof(f36,plain,
    falsehood != not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),
    inference(superposition,[],[f32,f22]) ).

fof(f32,plain,
    falsehood != not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))),not(x))),
    inference(superposition,[],[f29,f22]) ).

fof(f29,plain,
    falsehood != not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(x))),
    inference(forward_demodulation,[],[f28,f16]) ).

fof(f28,plain,
    falsehood != not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(x))),
    inference(definition_unfolding,[],[f17,f20,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/benchmark/theBenchmark.p',and_definition) ).

fof(f11,axiom,
    ! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition) ).

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/benchmark/theBenchmark.p',and_star_definition) ).

fof(f17,axiom,
    falsehood != and_star(xor(truth,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL158-1 : TPTP v8.2.0. 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 : n014.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   : Mon May 20 00:56:53 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/benchmark/theBenchmark.p
% 0.62/0.81  % (29790)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.81  % (29792)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.81  % (29791)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 theBenchmark for (2995ds/51Mi)
% 0.62/0.81  % (29793)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.81  % (29794)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.81  % (29796)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 theBenchmark for (2995ds/83Mi)
% 0.62/0.81  % (29795)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.81  % (29797)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.81  % (29794)Refutation not found, incomplete strategy% (29794)------------------------------
% 0.62/0.81  % (29794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29794)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29794)Memory used [KB]: 1017
% 0.62/0.81  % (29794)Time elapsed: 0.003 s
% 0.62/0.81  % (29794)Instructions burned: 2 (million)
% 0.62/0.81  % (29790)Refutation not found, incomplete strategy% (29790)------------------------------
% 0.62/0.81  % (29790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29790)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29790)Memory used [KB]: 1019
% 0.62/0.81  % (29790)Time elapsed: 0.003 s
% 0.62/0.81  % (29790)Instructions burned: 3 (million)
% 0.62/0.81  % (29794)------------------------------
% 0.62/0.81  % (29794)------------------------------
% 0.62/0.81  % (29797)Refutation not found, incomplete strategy% (29797)------------------------------
% 0.62/0.81  % (29797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29797)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29797)Memory used [KB]: 1005
% 0.62/0.81  % (29797)Time elapsed: 0.003 s
% 0.62/0.81  % (29797)Instructions burned: 3 (million)
% 0.62/0.81  % (29793)Refutation not found, incomplete strategy% (29793)------------------------------
% 0.62/0.81  % (29793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29793)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29793)Memory used [KB]: 1015
% 0.62/0.81  % (29793)Time elapsed: 0.003 s
% 0.62/0.81  % (29793)Instructions burned: 3 (million)
% 0.62/0.81  % (29790)------------------------------
% 0.62/0.81  % (29790)------------------------------
% 0.62/0.81  % (29797)------------------------------
% 0.62/0.81  % (29797)------------------------------
% 0.62/0.81  % (29793)------------------------------
% 0.62/0.81  % (29793)------------------------------
% 0.62/0.81  % (29796)Refutation not found, incomplete strategy% (29796)------------------------------
% 0.62/0.81  % (29796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29796)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29796)Memory used [KB]: 1012
% 0.62/0.81  % (29796)Time elapsed: 0.003 s
% 0.62/0.81  % (29796)Instructions burned: 4 (million)
% 0.62/0.81  % (29795)Refutation not found, incomplete strategy% (29795)------------------------------
% 0.62/0.81  % (29795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (29795)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (29795)Memory used [KB]: 1011
% 0.62/0.81  % (29795)Time elapsed: 0.004 s
% 0.62/0.81  % (29795)Instructions burned: 4 (million)
% 0.62/0.81  % (29796)------------------------------
% 0.62/0.81  % (29796)------------------------------
% 0.62/0.81  % (29795)------------------------------
% 0.62/0.81  % (29795)------------------------------
% 0.62/0.82  % (29799)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 theBenchmark for (2995ds/55Mi)
% 0.62/0.82  % (29801)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.62/0.82  % (29802)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 theBenchmark for (2995ds/52Mi)
% 0.62/0.82  % (29800)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 theBenchmark for (2995ds/50Mi)
% 0.62/0.82  % (29803)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 theBenchmark for (2995ds/518Mi)
% 0.62/0.82  % (29804)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 theBenchmark for (2995ds/42Mi)
% 0.62/0.82  % (29800)Refutation not found, incomplete strategy% (29800)------------------------------
% 0.62/0.82  % (29800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (29800)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (29800)Memory used [KB]: 1008
% 0.62/0.82  % (29800)Time elapsed: 0.003 s
% 0.62/0.82  % (29800)Instructions burned: 3 (million)
% 0.62/0.82  % (29804)Refutation not found, incomplete strategy% (29804)------------------------------
% 0.62/0.82  % (29804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (29804)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (29804)Memory used [KB]: 1001
% 0.62/0.82  % (29804)Time elapsed: 0.003 s
% 0.62/0.82  % (29804)Instructions burned: 2 (million)
% 0.62/0.82  % (29800)------------------------------
% 0.62/0.82  % (29800)------------------------------
% 0.62/0.82  % (29804)------------------------------
% 0.62/0.82  % (29804)------------------------------
% 0.62/0.82  % (29808)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 theBenchmark for (2995ds/243Mi)
% 0.62/0.82  % (29809)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.82  % (29791)First to succeed.
% 0.62/0.82  % (29809)Refutation not found, incomplete strategy% (29809)------------------------------
% 0.62/0.82  % (29809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (29809)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (29809)Memory used [KB]: 1006
% 0.62/0.82  % (29809)Time elapsed: 0.003 s
% 0.62/0.82  % (29809)Instructions burned: 3 (million)
% 0.62/0.82  % (29809)------------------------------
% 0.62/0.82  % (29809)------------------------------
% 0.62/0.82  % (29791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29757"
% 0.62/0.82  % (29791)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Unsatisfiable for theBenchmark
% 0.62/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.82  % (29791)------------------------------
% 0.62/0.82  % (29791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (29791)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (29791)Memory used [KB]: 1211
% 0.62/0.82  % (29791)Time elapsed: 0.014 s
% 0.62/0.82  % (29791)Instructions burned: 24 (million)
% 0.62/0.82  % (29757)Success in time 0.459 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------