TSTP Solution File: LCL800-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL800-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 00:23:02 EDT 2024

% Result   : Unsatisfiable 0.77s 0.98s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f762,plain,
    $false,
    inference(subsumption_resolution,[],[f761,f393]) ).

fof(f393,plain,
    ~ c_InductTermi_OIT(sF1),
    inference(definition_folding,[],[f368,f392,f391]) ).

fof(f391,plain,
    c_Lambda_Osubst(v_a____,v_u____,v_i____) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f392,plain,
    c_Lambda_OdB_OApp(v_u____,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f368,axiom,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f761,plain,
    c_InductTermi_OIT(sF1),
    inference(forward_demodulation,[],[f760,f392]) ).

fof(f760,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,sF0)),
    inference(forward_demodulation,[],[f726,f362]) ).

fof(f362,axiom,
    ! [X28,X25,X12] : c_Lambda_Osubst(c_Lambda_Olift(X25,X12),X28,X12) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).

fof(f726,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),sF0,c_HOL_Ozero__class_Ozero(tc_nat)),sF0)),
    inference(superposition,[],[f394,f471]) ).

fof(f471,plain,
    ! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X2,c_Lambda_OdB_OVar(X0)),X1,X0) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X2,X1,X0),X1),
    inference(superposition,[],[f343,f346]) ).

fof(f346,axiom,
    ! [X15,X12] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X12),X15,X12) = X15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).

fof(f343,axiom,
    ! [X28,X15,X25,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X25,X15),X28,X12) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X25,X28,X12),c_Lambda_Osubst(X15,X28,X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).

fof(f394,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),sF0,c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(forward_demodulation,[],[f367,f391]) ).

fof(f367,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL800-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n007.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 01:10:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.77/0.95  % (21877)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 (2994ds/34Mi)
% 0.77/0.95  % (21880)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.77/0.95  % (21881)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 (2994ds/34Mi)
% 0.77/0.95  % (21879)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.77/0.95  % (21882)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.77/0.96  % (21883)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 (2994ds/83Mi)
% 0.77/0.96  % (21877)Refutation not found, incomplete strategy% (21877)------------------------------
% 0.77/0.96  % (21877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96  % (21877)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.96  
% 0.77/0.96  % (21877)Memory used [KB]: 1290
% 0.77/0.96  % (21877)Time elapsed: 0.003 s
% 0.77/0.96  % (21877)Instructions burned: 6 (million)
% 0.77/0.96  % (21877)------------------------------
% 0.77/0.96  % (21877)------------------------------
% 0.77/0.96  % (21884)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 (2994ds/56Mi)
% 0.77/0.96  % (21884)Refutation not found, incomplete strategy% (21884)------------------------------
% 0.77/0.96  % (21884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96  % (21884)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.96  
% 0.77/0.96  % (21884)Memory used [KB]: 1250
% 0.77/0.96  % (21884)Time elapsed: 0.004 s
% 0.77/0.96  % (21884)Instructions burned: 4 (million)
% 0.77/0.96  % (21884)------------------------------
% 0.77/0.96  % (21884)------------------------------
% 0.77/0.96  % (21878)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 (2994ds/51Mi)
% 0.77/0.96  % (21882)Refutation not found, incomplete strategy% (21882)------------------------------
% 0.77/0.96  % (21882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96  % (21882)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.96  
% 0.77/0.96  % (21882)Memory used [KB]: 1257
% 0.77/0.96  % (21882)Time elapsed: 0.006 s
% 0.77/0.96  % (21882)Instructions burned: 9 (million)
% 0.77/0.96  % (21882)------------------------------
% 0.77/0.96  % (21882)------------------------------
% 0.77/0.96  % (21881)Refutation not found, incomplete strategy% (21881)------------------------------
% 0.77/0.96  % (21881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96  % (21881)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.96  
% 0.77/0.96  % (21881)Memory used [KB]: 1363
% 0.77/0.96  % (21881)Time elapsed: 0.009 s
% 0.77/0.96  % (21881)Instructions burned: 14 (million)
% 0.77/0.96  % (21881)------------------------------
% 0.77/0.96  % (21881)------------------------------
% 0.77/0.96  % (21886)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 (2994ds/50Mi)
% 0.77/0.96  % (21883)Refutation not found, incomplete strategy% (21883)------------------------------
% 0.77/0.96  % (21883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96  % (21883)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.96  
% 0.77/0.96  % (21887)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 (2994ds/208Mi)
% 0.77/0.96  % (21883)Memory used [KB]: 1387
% 0.77/0.96  % (21883)Time elapsed: 0.010 s
% 0.77/0.96  % (21883)Instructions burned: 17 (million)
% 0.77/0.96  % (21883)------------------------------
% 0.77/0.96  % (21883)------------------------------
% 0.77/0.97  % (21888)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 (2993ds/52Mi)
% 0.77/0.97  % (21889)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 (2993ds/518Mi)
% 0.77/0.97  % (21885)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 (2994ds/55Mi)
% 0.77/0.97  % (21889)Refutation not found, incomplete strategy% (21889)------------------------------
% 0.77/0.97  % (21889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97  % (21889)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.97  
% 0.77/0.97  % (21889)Memory used [KB]: 1258
% 0.77/0.97  % (21889)Time elapsed: 0.005 s
% 0.77/0.97  % (21889)Instructions burned: 6 (million)
% 0.77/0.97  % (21889)------------------------------
% 0.77/0.97  % (21889)------------------------------
% 0.77/0.97  % (21880)Instruction limit reached!
% 0.77/0.97  % (21880)------------------------------
% 0.77/0.97  % (21880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97  % (21880)Termination reason: Unknown
% 0.77/0.97  % (21880)Termination phase: Saturation
% 0.77/0.97  
% 0.77/0.97  % (21880)Memory used [KB]: 1808
% 0.77/0.97  % (21880)Time elapsed: 0.020 s
% 0.77/0.97  % (21880)Instructions burned: 33 (million)
% 0.77/0.97  % (21880)------------------------------
% 0.77/0.97  % (21880)------------------------------
% 0.77/0.97  % (21886)Refutation not found, incomplete strategy% (21886)------------------------------
% 0.77/0.97  % (21886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97  % (21886)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.97  
% 0.77/0.97  % (21886)Memory used [KB]: 1452
% 0.77/0.97  % (21886)Time elapsed: 0.012 s
% 0.77/0.97  % (21886)Instructions burned: 18 (million)
% 0.77/0.97  % (21886)------------------------------
% 0.77/0.97  % (21886)------------------------------
% 0.77/0.98  % (21890)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 (2993ds/42Mi)
% 0.77/0.98  % (21891)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 (2993ds/243Mi)
% 0.77/0.98  % (21887)First to succeed.
% 0.77/0.98  % (21892)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 (2993ds/117Mi)
% 0.77/0.98  % (21878)Instruction limit reached!
% 0.77/0.98  % (21878)------------------------------
% 0.77/0.98  % (21878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.98  % (21878)Termination reason: Unknown
% 0.77/0.98  % (21878)Termination phase: Saturation
% 0.77/0.98  
% 0.77/0.98  % (21878)Memory used [KB]: 1607
% 0.77/0.98  % (21887)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21876"
% 0.77/0.98  % (21878)Time elapsed: 0.020 s
% 0.77/0.98  % (21878)Instructions burned: 51 (million)
% 0.77/0.98  % (21878)------------------------------
% 0.77/0.98  % (21878)------------------------------
% 0.77/0.98  % (21887)Refutation found. Thanks to Tanya!
% 0.77/0.98  % SZS status Unsatisfiable for theBenchmark
% 0.77/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.98  % (21887)------------------------------
% 0.77/0.98  % (21887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.98  % (21887)Termination reason: Refutation
% 0.77/0.98  
% 0.77/0.98  % (21887)Memory used [KB]: 1439
% 0.77/0.98  % (21887)Time elapsed: 0.016 s
% 0.77/0.98  % (21887)Instructions burned: 23 (million)
% 0.77/0.98  % (21876)Success in time 0.612 s
% 0.77/0.98  % Vampire---4.8 exiting
%------------------------------------------------------------------------------