TSTP Solution File: KLE065+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE065+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 : n026.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 : Wed May  1 03:03:02 EDT 2024

% Result   : Theorem 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (  28 unt;   0 def)
%            Number of atoms       :   42 (  41 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f237,plain,
    $false,
    inference(subsumption_resolution,[],[f230,f47]) ).

fof(f47,plain,
    zero != sF3,
    inference(definition_folding,[],[f30,f46,f45]) ).

fof(f45,plain,
    domain(sK1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f46,plain,
    multiplication(sK0,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f30,plain,
    zero != multiplication(sK0,domain(sK1)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( zero != multiplication(sK0,domain(sK1))
    & zero = multiplication(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).

fof(f27,plain,
    ( ? [X0,X1] :
        ( zero != multiplication(X0,domain(X1))
        & zero = multiplication(X0,X1) )
   => ( zero != multiplication(sK0,domain(sK1))
      & zero = multiplication(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1] :
      ( zero != multiplication(X0,domain(X1))
      & zero = multiplication(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1] :
        ( zero = multiplication(X0,X1)
       => zero = multiplication(X0,domain(X1)) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] :
        ( zero = multiplication(X3,X4)
       => zero = multiplication(X3,domain(X4)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] :
      ( zero = multiplication(X3,X4)
     => zero = multiplication(X3,domain(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',goals) ).

fof(f230,plain,
    zero = sF3,
    inference(superposition,[],[f229,f40]) ).

fof(f40,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',additive_identity) ).

fof(f229,plain,
    zero = addition(sF3,zero),
    inference(forward_demodulation,[],[f222,f38]) ).

fof(f38,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',left_annihilation) ).

fof(f222,plain,
    multiplication(zero,sF3) = addition(sF3,multiplication(zero,sF3)),
    inference(superposition,[],[f42,f83]) ).

fof(f83,plain,
    zero = domain(sF3),
    inference(forward_demodulation,[],[f82,f37]) ).

fof(f37,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',domain4) ).

fof(f82,plain,
    domain(zero) = domain(sF3),
    inference(forward_demodulation,[],[f81,f49]) ).

fof(f49,plain,
    zero = sF4,
    inference(definition_folding,[],[f29,f48]) ).

fof(f48,plain,
    multiplication(sK0,sK1) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f29,plain,
    zero = multiplication(sK0,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f81,plain,
    domain(sF3) = domain(sF4),
    inference(forward_demodulation,[],[f77,f48]) ).

fof(f77,plain,
    domain(multiplication(sK0,sK1)) = domain(sF3),
    inference(superposition,[],[f68,f46]) ).

fof(f68,plain,
    ! [X0] : domain(multiplication(X0,sK1)) = domain(multiplication(X0,sF2)),
    inference(superposition,[],[f41,f45]) ).

fof(f41,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',domain2) ).

fof(f42,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
    file('/export/starexec/sandbox2/tmp/tmp.7tqXzZTyBG/Vampire---4.8_13479',domain1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.14/0.35  % Computer : n026.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   : Tue Apr 30 18:59:19 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.7tqXzZTyBG/Vampire---4.8_13479
% 0.55/0.74  % (13671)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 (2996ds/83Mi)
% 0.55/0.74  % (13665)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 (2996ds/34Mi)
% 0.55/0.74  % (13667)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (13666)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 (2996ds/51Mi)
% 0.55/0.74  % (13670)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (13668)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74  % (13665)Refutation not found, incomplete strategy% (13665)------------------------------
% 0.55/0.74  % (13665)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (13665)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (13665)Memory used [KB]: 989
% 0.55/0.74  % (13668)Refutation not found, incomplete strategy% (13668)------------------------------
% 0.55/0.74  % (13668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (13665)Time elapsed: 0.003 s
% 0.55/0.74  % (13665)Instructions burned: 3 (million)
% 0.55/0.74  % (13665)------------------------------
% 0.55/0.74  % (13665)------------------------------
% 0.55/0.74  % (13668)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (13668)Memory used [KB]: 974
% 0.55/0.74  % (13668)Time elapsed: 0.003 s
% 0.55/0.74  % (13668)Instructions burned: 3 (million)
% 0.55/0.74  % (13668)------------------------------
% 0.55/0.74  % (13668)------------------------------
% 0.55/0.74  % (13672)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 (2996ds/56Mi)
% 0.55/0.75  % (13672)Refutation not found, incomplete strategy% (13672)------------------------------
% 0.55/0.75  % (13672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (13672)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (13672)Memory used [KB]: 974
% 0.55/0.75  % (13672)Time elapsed: 0.002 s
% 0.55/0.75  % (13672)Instructions burned: 2 (million)
% 0.55/0.75  % (13672)------------------------------
% 0.55/0.75  % (13672)------------------------------
% 0.55/0.75  % (13669)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 (2996ds/34Mi)
% 0.55/0.75  % (13674)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 (2996ds/50Mi)
% 0.55/0.75  % (13669)Refutation not found, incomplete strategy% (13669)------------------------------
% 0.55/0.75  % (13669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (13669)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (13669)Memory used [KB]: 989
% 0.55/0.75  % (13674)Refutation not found, incomplete strategy% (13674)------------------------------
% 0.55/0.75  % (13674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (13674)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (13674)Memory used [KB]: 972
% 0.55/0.75  % (13674)Time elapsed: 0.003 s
% 0.55/0.75  % (13674)Instructions burned: 2 (million)
% 0.55/0.75  % (13674)------------------------------
% 0.55/0.75  % (13674)------------------------------
% 0.55/0.75  % (13669)Time elapsed: 0.004 s
% 0.55/0.75  % (13669)Instructions burned: 2 (million)
% 0.55/0.75  % (13669)------------------------------
% 0.55/0.75  % (13669)------------------------------
% 0.55/0.75  % (13673)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 (2996ds/55Mi)
% 0.55/0.75  % (13683)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 (2996ds/208Mi)
% 0.55/0.75  % (13684)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 (2996ds/52Mi)
% 0.55/0.76  % (13685)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 (2996ds/518Mi)
% 0.55/0.76  % (13683)First to succeed.
% 0.62/0.77  % (13683)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Theorem for Vampire---4
% 0.62/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77  % (13683)------------------------------
% 0.62/0.77  % (13683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (13683)Termination reason: Refutation
% 0.62/0.77  
% 0.62/0.77  % (13683)Memory used [KB]: 1083
% 0.62/0.77  % (13683)Time elapsed: 0.015 s
% 0.62/0.77  % (13683)Instructions burned: 12 (million)
% 0.62/0.77  % (13683)------------------------------
% 0.62/0.77  % (13683)------------------------------
% 0.62/0.77  % (13664)Success in time 0.396 s
% 0.62/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------