TSTP Solution File: REL002-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : REL002-1 : TPTP v8.2.0. Released v4.0.0.
% 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 : n022.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 02:33:34 EDT 2024

% Result   : Unsatisfiable 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (  34 unt;   0 def)
%            Number of atoms       :   34 (  33 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    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,plain,
    $false,
    inference(trivial_inequality_removal,[],[f484]) ).

fof(f484,plain,
    top != top,
    inference(superposition,[],[f14,f443]) ).

fof(f443,plain,
    ! [X0] : top = join(X0,top),
    inference(forward_demodulation,[],[f442,f430]) ).

fof(f430,plain,
    ! [X0] : top = join(top,X0),
    inference(backward_demodulation,[],[f390,f427]) ).

fof(f427,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[],[f414,f12]) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).

fof(f414,plain,
    ! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[],[f28,f349]) ).

fof(f349,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f338,f347]) ).

fof(f347,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(backward_demodulation,[],[f324,f335]) ).

fof(f335,plain,
    one = converse(one),
    inference(superposition,[],[f324,f6]) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).

fof(f324,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f304,f8]) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).

fof(f304,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f27,f6]) ).

fof(f27,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f10,f8]) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).

fof(f338,plain,
    ! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
    inference(superposition,[],[f11,f324]) ).

fof(f11,axiom,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).

fof(f28,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f2,f12]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).

fof(f390,plain,
    ! [X0] : join(top,X0) = join(top,complement(complement(X0))),
    inference(superposition,[],[f72,f350]) ).

fof(f350,plain,
    ! [X0] : join(zero,complement(complement(X0))) = X0,
    inference(backward_demodulation,[],[f112,f349]) ).

fof(f112,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(forward_demodulation,[],[f95,f16]) ).

fof(f16,plain,
    zero = complement(top),
    inference(backward_demodulation,[],[f15,f12]) ).

fof(f15,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f13,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).

fof(f95,plain,
    ! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[],[f3,f12]) ).

fof(f3,axiom,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).

fof(f72,plain,
    ! [X0] : join(top,X0) = join(top,join(zero,X0)),
    inference(superposition,[],[f2,f17]) ).

fof(f17,plain,
    top = join(top,zero),
    inference(superposition,[],[f12,f16]) ).

fof(f442,plain,
    ! [X0,X1] : join(X0,top) = join(top,join(complement(complement(X0)),X1)),
    inference(forward_demodulation,[],[f418,f430]) ).

fof(f418,plain,
    ! [X0,X1] : join(top,join(complement(complement(X0)),X1)) = join(X0,join(top,X1)),
    inference(superposition,[],[f28,f28]) ).

fof(f14,axiom,
    top != join(sk1,top),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : REL002-1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 08:14:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35  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
% 0.55/0.75  % (10379)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75  % (10385)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 (2996ds/56Mi)
% 0.55/0.75  % (10385)Refutation not found, incomplete strategy% (10385)------------------------------
% 0.55/0.75  % (10385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10385)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10385)Memory used [KB]: 967
% 0.55/0.75  % (10385)Time elapsed: 0.001 s
% 0.55/0.75  % (10385)Instructions burned: 2 (million)
% 0.55/0.75  % (10385)------------------------------
% 0.55/0.75  % (10385)------------------------------
% 0.55/0.75  % (10377)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 (2996ds/34Mi)
% 0.55/0.75  % (10381)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 (2996ds/34Mi)
% 0.55/0.75  % (10380)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75  % (10378)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 (2996ds/51Mi)
% 0.55/0.75  % (10382)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75  % (10383)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 (2996ds/83Mi)
% 0.55/0.76  % (10381)Refutation not found, incomplete strategy% (10381)------------------------------
% 0.55/0.76  % (10381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10380)Refutation not found, incomplete strategy% (10380)------------------------------
% 0.55/0.76  % (10380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10380)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10380)Memory used [KB]: 969
% 0.55/0.76  % (10380)Time elapsed: 0.002 s
% 0.55/0.76  % (10380)Instructions burned: 2 (million)
% 0.55/0.76  % (10381)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  % (10377)Refutation not found, incomplete strategy% (10377)------------------------------
% 0.55/0.76  % (10377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  
% 0.55/0.76  % (10381)Memory used [KB]: 983
% 0.55/0.76  % (10381)Time elapsed: 0.002 s
% 0.55/0.76  % (10381)Instructions burned: 2 (million)
% 0.55/0.76  % (10382)Refutation not found, incomplete strategy% (10382)------------------------------
% 0.55/0.76  % (10382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10382)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10382)Memory used [KB]: 968
% 0.55/0.76  % (10382)Time elapsed: 0.002 s
% 0.55/0.76  % (10382)Instructions burned: 2 (million)
% 0.55/0.76  % (10377)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10377)Memory used [KB]: 983
% 0.55/0.76  % (10377)Time elapsed: 0.003 s
% 0.55/0.76  % (10377)Instructions burned: 2 (million)
% 0.55/0.76  % (10380)------------------------------
% 0.55/0.76  % (10380)------------------------------
% 0.55/0.76  % (10381)------------------------------
% 0.55/0.76  % (10381)------------------------------
% 0.55/0.76  % (10382)------------------------------
% 0.55/0.76  % (10382)------------------------------
% 0.55/0.76  % (10383)Refutation not found, incomplete strategy% (10383)------------------------------
% 0.55/0.76  % (10383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10383)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10383)Memory used [KB]: 969
% 0.55/0.76  % (10383)Time elapsed: 0.003 s
% 0.55/0.76  % (10383)Instructions burned: 2 (million)
% 0.55/0.76  % (10377)------------------------------
% 0.55/0.76  % (10377)------------------------------
% 0.55/0.76  % (10383)------------------------------
% 0.55/0.76  % (10383)------------------------------
% 0.55/0.76  % (10387)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 (2996ds/55Mi)
% 0.55/0.76  % (10389)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 (2996ds/208Mi)
% 0.55/0.76  % (10388)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 (2996ds/50Mi)
% 0.55/0.76  % (10390)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 (2996ds/52Mi)
% 0.55/0.76  % (10391)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 (2996ds/518Mi)
% 0.55/0.76  % (10392)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 (2996ds/42Mi)
% 0.55/0.76  % (10388)Refutation not found, incomplete strategy% (10388)------------------------------
% 0.55/0.76  % (10388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10388)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10388)Memory used [KB]: 966
% 0.55/0.76  % (10388)Time elapsed: 0.002 s
% 0.55/0.76  % (10388)Instructions burned: 2 (million)
% 0.55/0.76  % (10388)------------------------------
% 0.55/0.76  % (10388)------------------------------
% 0.55/0.76  % (10392)Refutation not found, incomplete strategy% (10392)------------------------------
% 0.55/0.76  % (10392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10392)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10392)Memory used [KB]: 967
% 0.55/0.76  % (10392)Time elapsed: 0.002 s
% 0.55/0.76  % (10392)Instructions burned: 2 (million)
% 0.55/0.76  % (10392)------------------------------
% 0.55/0.76  % (10392)------------------------------
% 0.55/0.77  % (10393)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 (2996ds/243Mi)
% 0.55/0.77  % (10394)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 (2996ds/117Mi)
% 0.55/0.77  % (10394)Refutation not found, incomplete strategy% (10394)------------------------------
% 0.55/0.77  % (10394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (10394)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (10394)Memory used [KB]: 968
% 0.55/0.77  % (10394)Time elapsed: 0.003 s
% 0.55/0.77  % (10394)Instructions burned: 2 (million)
% 0.55/0.77  % (10394)------------------------------
% 0.55/0.77  % (10394)------------------------------
% 0.55/0.77  % (10395)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 theBenchmark for (2996ds/143Mi)
% 0.55/0.77  % (10395)Refutation not found, incomplete strategy% (10395)------------------------------
% 0.55/0.77  % (10395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (10395)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (10395)Memory used [KB]: 986
% 0.55/0.77  % (10395)Time elapsed: 0.004 s
% 0.55/0.77  % (10395)Instructions burned: 3 (million)
% 0.55/0.77  % (10395)------------------------------
% 0.55/0.77  % (10395)------------------------------
% 0.55/0.78  % (10387)Instruction limit reached!
% 0.55/0.78  % (10387)------------------------------
% 0.55/0.78  % (10387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (10387)Termination reason: Unknown
% 0.55/0.78  % (10387)Termination phase: Saturation
% 0.55/0.78  
% 0.55/0.78  % (10387)Memory used [KB]: 1534
% 0.55/0.78  % (10387)Time elapsed: 0.020 s
% 0.55/0.78  % (10387)Instructions burned: 58 (million)
% 0.55/0.78  % (10387)------------------------------
% 0.55/0.78  % (10387)------------------------------
% 0.55/0.78  % (10397)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 theBenchmark for (2995ds/62Mi)
% 0.55/0.78  % (10396)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 theBenchmark for (2995ds/93Mi)
% 0.55/0.78  % (10397)Refutation not found, incomplete strategy% (10397)------------------------------
% 0.55/0.78  % (10397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (10397)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (10397)Memory used [KB]: 969
% 0.55/0.78  % (10397)Time elapsed: 0.001 s
% 0.55/0.78  % (10397)Instructions burned: 2 (million)
% 0.55/0.78  % (10379)Instruction limit reached!
% 0.55/0.78  % (10379)------------------------------
% 0.55/0.78  % (10379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (10379)Termination reason: Unknown
% 0.55/0.78  % (10379)Termination phase: Saturation
% 0.55/0.78  
% 0.55/0.78  % (10379)Memory used [KB]: 1775
% 0.55/0.78  % (10379)Time elapsed: 0.027 s
% 0.55/0.78  % (10379)Instructions burned: 78 (million)
% 0.55/0.78  % (10379)------------------------------
% 0.55/0.78  % (10379)------------------------------
% 0.55/0.78  % (10397)------------------------------
% 0.55/0.78  % (10397)------------------------------
% 0.55/0.78  % (10390)First to succeed.
% 0.55/0.78  % (10390)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10375"
% 0.55/0.78  % (10390)Refutation found. Thanks to Tanya!
% 0.55/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.78  % (10390)------------------------------
% 0.55/0.78  % (10390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (10390)Termination reason: Refutation
% 0.55/0.78  
% 0.55/0.78  % (10390)Memory used [KB]: 1244
% 0.55/0.78  % (10390)Time elapsed: 0.022 s
% 0.55/0.78  % (10390)Instructions burned: 33 (million)
% 0.55/0.78  % (10375)Success in time 0.411 s
% 0.55/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------