TSTP Solution File: KLE067+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE067+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 : n017.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 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  19 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  22   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(trivial_inequality_removal,[],[f71]) ).

fof(f71,plain,
    domain(addition(sK0,sK1)) != domain(addition(sK0,sK1)),
    inference(superposition,[],[f46,f67]) ).

fof(f67,plain,
    ! [X0] : domain(X0) = domain(domain(X0)),
    inference(forward_demodulation,[],[f62,f35]) ).

fof(f35,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.VHJHkSITKi/Vampire---4.8_31503',multiplicative_left_identity) ).

fof(f62,plain,
    ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(superposition,[],[f41,f35]) ).

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.VHJHkSITKi/Vampire---4.8_31503',domain2) ).

fof(f46,plain,
    domain(addition(sK0,sK1)) != domain(domain(addition(sK0,sK1))),
    inference(forward_demodulation,[],[f45,f44]) ).

fof(f44,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
    file('/export/starexec/sandbox2/tmp/tmp.VHJHkSITKi/Vampire---4.8_31503',domain5) ).

fof(f45,plain,
    addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
    inference(cnf_transformation,[],[f28]) ).

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

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

fof(f26,plain,
    ? [X0,X1] : addition(domain(X0),domain(X1)) != domain(addition(domain(X0),domain(X1))),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ~ ! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(domain(X0),domain(X1))),
    inference(rectify,[],[f19]) ).

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

fof(f18,conjecture,
    ! [X3,X4] : addition(domain(X3),domain(X4)) = domain(addition(domain(X3),domain(X4))),
    file('/export/starexec/sandbox2/tmp/tmp.VHJHkSITKi/Vampire---4.8_31503',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:11:34 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.VHJHkSITKi/Vampire---4.8_31503
% 0.63/0.81  % (31616)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (31617)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (31614)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 (2995ds/34Mi)
% 0.63/0.81  % (31618)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 (2995ds/34Mi)
% 0.63/0.81  % (31619)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (31615)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 (2995ds/51Mi)
% 0.63/0.81  % (31620)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 (2995ds/83Mi)
% 0.63/0.81  % (31621)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 (2995ds/56Mi)
% 0.63/0.81  % (31621)Refutation not found, incomplete strategy% (31621)------------------------------
% 0.63/0.81  % (31621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (31618)Refutation not found, incomplete strategy% (31618)------------------------------
% 0.63/0.81  % (31618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (31618)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (31618)Memory used [KB]: 989
% 0.63/0.81  % (31618)Time elapsed: 0.003 s
% 0.63/0.81  % (31618)Instructions burned: 2 (million)
% 0.63/0.81  % (31618)------------------------------
% 0.63/0.81  % (31618)------------------------------
% 0.63/0.81  % (31621)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (31621)Memory used [KB]: 973
% 0.63/0.81  % (31621)Time elapsed: 0.003 s
% 0.63/0.81  % (31621)Instructions burned: 2 (million)
% 0.63/0.81  % (31621)------------------------------
% 0.63/0.81  % (31621)------------------------------
% 0.63/0.81  % (31620)Refutation not found, incomplete strategy% (31620)------------------------------
% 0.63/0.81  % (31620)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (31614)Refutation not found, incomplete strategy% (31614)------------------------------
% 0.63/0.81  % (31614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (31614)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (31614)Memory used [KB]: 988
% 0.63/0.81  % (31614)Time elapsed: 0.003 s
% 0.63/0.81  % (31614)Instructions burned: 3 (million)
% 0.63/0.81  % (31614)------------------------------
% 0.63/0.81  % (31614)------------------------------
% 0.63/0.81  % (31617)Refutation not found, incomplete strategy% (31617)------------------------------
% 0.63/0.81  % (31617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (31617)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (31617)Memory used [KB]: 982
% 0.63/0.81  % (31617)Time elapsed: 0.003 s
% 0.63/0.81  % (31617)Instructions burned: 2 (million)
% 0.63/0.82  % (31617)------------------------------
% 0.63/0.82  % (31617)------------------------------
% 0.63/0.82  % (31620)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (31620)Memory used [KB]: 973
% 0.63/0.82  % (31620)Time elapsed: 0.003 s
% 0.63/0.82  % (31620)Instructions burned: 3 (million)
% 0.63/0.82  % (31620)------------------------------
% 0.63/0.82  % (31620)------------------------------
% 0.63/0.82  % (31619)Refutation not found, incomplete strategy% (31619)------------------------------
% 0.63/0.82  % (31619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (31619)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (31619)Memory used [KB]: 973
% 0.63/0.82  % (31619)Time elapsed: 0.004 s
% 0.63/0.82  % (31619)Instructions burned: 2 (million)
% 0.63/0.82  % (31619)------------------------------
% 0.63/0.82  % (31619)------------------------------
% 0.63/0.82  % (31615)First to succeed.
% 0.63/0.82  % (31615)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (31615)------------------------------
% 0.63/0.82  % (31615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (31615)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (31615)Memory used [KB]: 1055
% 0.63/0.82  % (31615)Time elapsed: 0.005 s
% 0.63/0.82  % (31615)Instructions burned: 5 (million)
% 0.63/0.82  % (31615)------------------------------
% 0.63/0.82  % (31615)------------------------------
% 0.63/0.82  % (31613)Success in time 0.49 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------