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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  31 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   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   :   37 (  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f390,plain,
    $false,
    inference(trivial_inequality_removal,[],[f389]) ).

fof(f389,plain,
    top != top,
    inference(superposition,[],[f19,f364]) ).

fof(f364,plain,
    ! [X0] : top = join(X0,top),
    inference(forward_demodulation,[],[f339,f351]) ).

fof(f351,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[],[f338,f22]) ).

fof(f22,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

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

fof(f338,plain,
    ! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[],[f60,f224]) ).

fof(f224,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f213,f222]) ).

fof(f222,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(backward_demodulation,[],[f177,f210]) ).

fof(f210,plain,
    one = converse(one),
    inference(superposition,[],[f177,f29]) ).

fof(f29,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

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

fof(f177,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f162,f32]) ).

fof(f32,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

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

fof(f162,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f39,f29]) ).

fof(f39,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f27,f32]) ).

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

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

fof(f213,plain,
    ! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
    inference(superposition,[],[f24,f177]) ).

fof(f24,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

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

fof(f60,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f20,f22]) ).

fof(f20,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).

fof(f339,plain,
    ! [X0] : join(X0,top) = join(top,complement(complement(X0))),
    inference(superposition,[],[f60,f22]) ).

fof(f19,plain,
    top != join(sK0,top),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    top != join(sK0,top),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

fof(f17,plain,
    ( ? [X0] : top != join(X0,top)
   => top != join(sK0,top) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0] : top != join(X0,top),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0] : top = join(X0,top),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0] : top = join(X0,top),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n015.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 08:07:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_PEQ 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
% 0.63/0.78  % (11823)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)
% 0.63/0.78  % (11817)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)
% 0.63/0.78  % (11819)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.63/0.78  % (11820)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)
% 0.63/0.78  % (11818)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)
% 0.63/0.78  % (11820)Refutation not found, incomplete strategy% (11820)------------------------------
% 0.63/0.78  % (11820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (11820)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (11820)Memory used [KB]: 971
% 0.63/0.78  % (11820)Time elapsed: 0.002 s
% 0.63/0.78  % (11820)Instructions burned: 2 (million)
% 0.63/0.78  % (11817)Refutation not found, incomplete strategy% (11817)------------------------------
% 0.63/0.78  % (11817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (11817)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (11817)Memory used [KB]: 984
% 0.63/0.78  % (11817)Time elapsed: 0.003 s
% 0.63/0.78  % (11817)Instructions burned: 2 (million)
% 0.63/0.78  % (11820)------------------------------
% 0.63/0.78  % (11820)------------------------------
% 0.63/0.78  % (11823)Refutation not found, incomplete strategy% (11823)------------------------------
% 0.63/0.78  % (11823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (11823)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (11823)Memory used [KB]: 970
% 0.63/0.78  % (11823)Time elapsed: 0.004 s
% 0.63/0.78  % (11823)Instructions burned: 2 (million)
% 0.63/0.78  % (11817)------------------------------
% 0.63/0.78  % (11817)------------------------------
% 0.63/0.78  % (11823)------------------------------
% 0.63/0.78  % (11823)------------------------------
% 0.63/0.78  % (11824)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)
% 0.63/0.79  % (11824)Refutation not found, incomplete strategy% (11824)------------------------------
% 0.63/0.79  % (11824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (11824)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (11824)Memory used [KB]: 968
% 0.63/0.79  % (11824)Time elapsed: 0.002 s
% 0.63/0.79  % (11824)Instructions burned: 2 (million)
% 0.63/0.79  % (11824)------------------------------
% 0.63/0.79  % (11824)------------------------------
% 0.63/0.79  % (11825)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)
% 0.63/0.79  % (11827)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)
% 0.63/0.79  % (11828)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)
% 0.63/0.79  % (11822)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)
% 0.63/0.79  % (11821)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)
% 0.63/0.79  % (11822)Refutation not found, incomplete strategy% (11822)------------------------------
% 0.63/0.79  % (11822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (11822)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (11822)Memory used [KB]: 970
% 0.63/0.79  % (11822)Time elapsed: 0.003 s
% 0.63/0.79  % (11822)Instructions burned: 2 (million)
% 0.63/0.79  % (11821)Refutation not found, incomplete strategy% (11821)------------------------------
% 0.63/0.79  % (11821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (11821)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (11821)Memory used [KB]: 985
% 0.63/0.79  % (11821)Time elapsed: 0.003 s
% 0.63/0.79  % (11821)Instructions burned: 2 (million)
% 0.63/0.79  % (11822)------------------------------
% 0.63/0.79  % (11822)------------------------------
% 0.63/0.79  % (11821)------------------------------
% 0.63/0.79  % (11821)------------------------------
% 0.63/0.79  % (11829)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)
% 0.63/0.79  % (11826)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)
% 0.63/0.79  % (11830)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)
% 0.63/0.79  % (11826)Refutation not found, incomplete strategy% (11826)------------------------------
% 0.63/0.79  % (11826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (11826)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (11826)Memory used [KB]: 968
% 0.63/0.79  % (11826)Time elapsed: 0.002 s
% 0.63/0.79  % (11826)Instructions burned: 2 (million)
% 0.63/0.79  % (11826)------------------------------
% 0.63/0.79  % (11826)------------------------------
% 0.63/0.79  % (11830)Refutation not found, incomplete strategy% (11830)------------------------------
% 0.63/0.79  % (11830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (11830)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (11830)Memory used [KB]: 969
% 0.63/0.79  % (11830)Time elapsed: 0.002 s
% 0.63/0.79  % (11830)Instructions burned: 2 (million)
% 0.63/0.80  % (11830)------------------------------
% 0.63/0.80  % (11830)------------------------------
% 0.63/0.80  % (11819)First to succeed.
% 0.63/0.80  % (11819)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11816"
% 0.63/0.80  % (11819)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for theBenchmark
% 0.63/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.80  % (11819)------------------------------
% 0.63/0.80  % (11819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (11819)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (11819)Memory used [KB]: 1238
% 0.63/0.80  % (11819)Time elapsed: 0.016 s
% 0.63/0.80  % (11819)Instructions burned: 25 (million)
% 0.63/0.80  % (11816)Success in time 0.438 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------