TSTP Solution File: KLE085+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE085+1 : TPTP v8.1.2. 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 : 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 : Sun May  5 07:16:03 EDT 2024

% Result   : Theorem 0.74s 0.92s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  25 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(trivial_inequality_removal,[],[f166]) ).

fof(f166,plain,
    one != one,
    inference(superposition,[],[f56,f151]) ).

fof(f151,plain,
    ! [X0] : one = addition(antidomain(X0),one),
    inference(superposition,[],[f120,f74]) ).

fof(f74,plain,
    ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
    inference(superposition,[],[f49,f36]) ).

fof(f36,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',additive_commutativity) ).

fof(f49,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',domain3) ).

fof(f120,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f37,f39]) ).

fof(f39,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',additive_idempotence) ).

fof(f37,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',additive_associativity) ).

fof(f56,plain,
    one != addition(antidomain(antidomain(sK0)),one),
    inference(definition_unfolding,[],[f55,f50]) ).

fof(f50,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',domain4) ).

fof(f55,plain,
    one != addition(domain(sK0),one),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    one != addition(domain(sK0),one),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).

fof(f34,plain,
    ( ? [X0] : one != addition(domain(X0),one)
   => one != addition(domain(sK0),one) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ? [X0] : one != addition(domain(X0),one),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ~ ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X3] : one = addition(domain(X3),one),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox2/tmp/tmp.wPq91OPWFU/Vampire---4.8_10405',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:23:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.wPq91OPWFU/Vampire---4.8_10405
% 0.74/0.91  % (10579)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.91  % (10580)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 (2994ds/34Mi)
% 0.74/0.91  % (10578)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.91  % (10581)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.91  % (10582)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 (2994ds/83Mi)
% 0.74/0.91  % (10583)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 (2994ds/56Mi)
% 0.74/0.91  % (10576)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 (2994ds/34Mi)
% 0.74/0.91  % (10577)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 (2994ds/51Mi)
% 0.74/0.91  % (10583)Refutation not found, incomplete strategy% (10583)------------------------------
% 0.74/0.91  % (10583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10580)Refutation not found, incomplete strategy% (10580)------------------------------
% 0.74/0.91  % (10580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10580)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  
% 0.74/0.91  % (10580)Memory used [KB]: 991
% 0.74/0.91  % (10580)Time elapsed: 0.003 s
% 0.74/0.91  % (10580)Instructions burned: 3 (million)
% 0.74/0.91  % (10583)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  
% 0.74/0.91  % (10583)Memory used [KB]: 974
% 0.74/0.91  % (10579)Refutation not found, incomplete strategy% (10579)------------------------------
% 0.74/0.91  % (10579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10579)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  
% 0.74/0.91  % (10579)Memory used [KB]: 975
% 0.74/0.91  % (10579)Time elapsed: 0.003 s
% 0.74/0.91  % (10579)Instructions burned: 2 (million)
% 0.74/0.91  % (10583)Time elapsed: 0.003 s
% 0.74/0.91  % (10583)Instructions burned: 2 (million)
% 0.74/0.91  % (10581)Refutation not found, incomplete strategy% (10581)------------------------------
% 0.74/0.91  % (10581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10581)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  
% 0.74/0.91  % (10581)Memory used [KB]: 975
% 0.74/0.91  % (10581)Time elapsed: 0.003 s
% 0.74/0.91  % (10581)Instructions burned: 3 (million)
% 0.74/0.91  % (10580)------------------------------
% 0.74/0.91  % (10580)------------------------------
% 0.74/0.91  % (10579)------------------------------
% 0.74/0.91  % (10579)------------------------------
% 0.74/0.91  % (10583)------------------------------
% 0.74/0.91  % (10583)------------------------------
% 0.74/0.91  % (10582)Refutation not found, incomplete strategy% (10582)------------------------------
% 0.74/0.91  % (10582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10582)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  % (10581)------------------------------
% 0.74/0.91  % (10581)------------------------------
% 0.74/0.91  
% 0.74/0.91  % (10582)Memory used [KB]: 1040
% 0.74/0.91  % (10582)Time elapsed: 0.003 s
% 0.74/0.91  % (10582)Instructions burned: 3 (million)
% 0.74/0.91  % (10582)------------------------------
% 0.74/0.91  % (10582)------------------------------
% 0.74/0.91  % (10576)Refutation not found, incomplete strategy% (10576)------------------------------
% 0.74/0.91  % (10576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91  % (10576)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.91  
% 0.74/0.91  % (10576)Memory used [KB]: 990
% 0.74/0.91  % (10576)Time elapsed: 0.003 s
% 0.74/0.91  % (10576)Instructions burned: 3 (million)
% 0.74/0.91  % (10576)------------------------------
% 0.74/0.91  % (10576)------------------------------
% 0.74/0.92  % (10577)First to succeed.
% 0.74/0.92  % (10584)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 (2994ds/55Mi)
% 0.74/0.92  % (10586)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 (2994ds/208Mi)
% 0.74/0.92  % (10577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10575"
% 0.74/0.92  % (10585)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 (2994ds/50Mi)
% 0.74/0.92  % (10587)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 (2994ds/52Mi)
% 0.74/0.92  % (10588)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 (2994ds/518Mi)
% 0.74/0.92  % (10577)Refutation found. Thanks to Tanya!
% 0.74/0.92  % SZS status Theorem for Vampire---4
% 0.74/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.92  % (10577)------------------------------
% 0.74/0.92  % (10577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.92  % (10577)Termination reason: Refutation
% 0.74/0.92  
% 0.74/0.92  % (10577)Memory used [KB]: 1066
% 0.74/0.92  % (10577)Time elapsed: 0.006 s
% 0.74/0.92  % (10577)Instructions burned: 8 (million)
% 0.74/0.92  % (10575)Success in time 0.547 s
% 0.74/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------