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

% Computer : n013.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 03:03:06 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% 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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',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/sandbox/tmp/tmp.3zORLku0rT/Vampire---4.8_3033',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : KLE085+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % 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
% 0.12/0.32  % Computer : n013.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 18:35:04 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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/tmp/tmp.3zORLku0rT/Vampire---4.8_3033
% 0.62/0.81  % (3151)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (3149)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)
% 0.62/0.81  % (3153)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)
% 0.62/0.81  % (3154)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)
% 0.62/0.81  % (3155)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)
% 0.62/0.81  % (3150)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)
% 0.62/0.82  % (3152)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)
% 0.62/0.82  % (3156)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)
% 0.62/0.82  % (3149)Refutation not found, incomplete strategy% (3149)------------------------------
% 0.62/0.82  % (3149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3154)Refutation not found, incomplete strategy% (3154)------------------------------
% 0.62/0.82  % (3154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3154)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3154)Memory used [KB]: 975
% 0.62/0.82  % (3154)Time elapsed: 0.003 s
% 0.62/0.82  % (3154)Instructions burned: 3 (million)
% 0.62/0.82  % (3154)------------------------------
% 0.62/0.82  % (3154)------------------------------
% 0.62/0.82  % (3149)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3149)Memory used [KB]: 989
% 0.62/0.82  % (3149)Time elapsed: 0.003 s
% 0.62/0.82  % (3149)Instructions burned: 3 (million)
% 0.62/0.82  % (3149)------------------------------
% 0.62/0.82  % (3149)------------------------------
% 0.62/0.82  % (3155)Refutation not found, incomplete strategy% (3155)------------------------------
% 0.62/0.82  % (3155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3155)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3155)Memory used [KB]: 1039
% 0.62/0.82  % (3155)Time elapsed: 0.003 s
% 0.62/0.82  % (3155)Instructions burned: 3 (million)
% 0.62/0.82  % (3155)------------------------------
% 0.62/0.82  % (3155)------------------------------
% 0.62/0.82  % (3152)Refutation not found, incomplete strategy% (3152)------------------------------
% 0.62/0.82  % (3152)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3152)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3152)Memory used [KB]: 974
% 0.62/0.82  % (3152)Time elapsed: 0.002 s
% 0.62/0.82  % (3152)Instructions burned: 2 (million)
% 0.62/0.82  % (3152)------------------------------
% 0.62/0.82  % (3152)------------------------------
% 0.62/0.82  % (3156)Refutation not found, incomplete strategy% (3156)------------------------------
% 0.62/0.82  % (3156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3156)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3156)Memory used [KB]: 973
% 0.62/0.82  % (3156)Time elapsed: 0.002 s
% 0.62/0.82  % (3156)Instructions burned: 2 (million)
% 0.62/0.82  % (3156)------------------------------
% 0.62/0.82  % (3156)------------------------------
% 0.62/0.82  % (3153)Refutation not found, incomplete strategy% (3153)------------------------------
% 0.62/0.82  % (3153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3153)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (3153)Memory used [KB]: 990
% 0.62/0.82  % (3153)Time elapsed: 0.003 s
% 0.62/0.82  % (3153)Instructions burned: 3 (million)
% 0.62/0.82  % (3153)------------------------------
% 0.62/0.82  % (3153)------------------------------
% 0.62/0.82  % (3150)First to succeed.
% 0.62/0.82  % (3150)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (3150)------------------------------
% 0.62/0.82  % (3150)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (3150)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (3150)Memory used [KB]: 1065
% 0.62/0.82  % (3150)Time elapsed: 0.005 s
% 0.62/0.82  % (3150)Instructions burned: 8 (million)
% 0.62/0.82  % (3150)------------------------------
% 0.62/0.82  % (3150)------------------------------
% 0.62/0.82  % (3141)Success in time 0.488 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------