TSTP Solution File: KLE148+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE148+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 : n025.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 07:16:26 EDT 2024

% Result   : Theorem 0.68s 0.84s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  24 unt;   0 def)
%            Number of atoms       :   38 (  37 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (  37   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(subsumption_resolution,[],[f325,f31]) ).

fof(f31,plain,
    sK0 != multiplication(sK0,strong_iteration(sK1)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( sK0 != multiplication(sK0,strong_iteration(sK1))
    & zero = multiplication(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f23,f27]) ).

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

fof(f23,plain,
    ? [X0,X1] :
      ( multiplication(X0,strong_iteration(X1)) != X0
      & zero = multiplication(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0,X1] :
        ( zero = multiplication(X0,X1)
       => multiplication(X0,strong_iteration(X1)) = X0 ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3,X4] :
        ( zero = multiplication(X3,X4)
       => multiplication(X3,strong_iteration(X4)) = X3 ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3,X4] :
      ( zero = multiplication(X3,X4)
     => multiplication(X3,strong_iteration(X4)) = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',goals) ).

fof(f325,plain,
    sK0 = multiplication(sK0,strong_iteration(sK1)),
    inference(forward_demodulation,[],[f312,f42]) ).

fof(f42,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',multiplicative_right_identity) ).

fof(f312,plain,
    multiplication(sK0,strong_iteration(sK1)) = multiplication(sK0,one),
    inference(superposition,[],[f264,f35]) ).

fof(f35,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',infty_unfold1) ).

fof(f264,plain,
    ! [X0,X1] : multiplication(sK0,addition(multiplication(sK1,X0),X1)) = multiplication(sK0,X1),
    inference(forward_demodulation,[],[f237,f51]) ).

fof(f51,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f47,f45]) ).

fof(f45,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',additive_identity) ).

fof(f47,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.15yNkXttNx/Vampire---4.8_7660',additive_commutativity) ).

fof(f237,plain,
    ! [X0,X1] : multiplication(sK0,addition(multiplication(sK1,X0),X1)) = addition(zero,multiplication(sK0,X1)),
    inference(superposition,[],[f40,f99]) ).

fof(f99,plain,
    ! [X0] : zero = multiplication(sK0,multiplication(sK1,X0)),
    inference(forward_demodulation,[],[f91,f38]) ).

fof(f38,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',left_annihilation) ).

fof(f91,plain,
    ! [X0] : multiplication(zero,X0) = multiplication(sK0,multiplication(sK1,X0)),
    inference(superposition,[],[f43,f30]) ).

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

fof(f43,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',multiplicative_associativity) ).

fof(f40,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.15yNkXttNx/Vampire---4.8_7660',distributivity1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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 : n025.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   : Fri May  3 21:23:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.15yNkXttNx/Vampire---4.8_7660
% 0.61/0.82  % (7898)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (7896)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)
% 0.61/0.82  % (7897)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)
% 0.61/0.82  % (7899)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)
% 0.61/0.82  % (7900)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)
% 0.61/0.82  % (7901)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)
% 0.61/0.82  % (7902)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)
% 0.61/0.82  % (7899)Refutation not found, incomplete strategy% (7899)------------------------------
% 0.61/0.82  % (7899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (7900)Refutation not found, incomplete strategy% (7900)------------------------------
% 0.61/0.82  % (7900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (7896)Refutation not found, incomplete strategy% (7896)------------------------------
% 0.61/0.82  % (7896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (7900)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  % (7896)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  
% 0.61/0.82  % (7900)Memory used [KB]: 981
% 0.61/0.82  % (7896)Memory used [KB]: 981
% 0.61/0.82  % (7900)Time elapsed: 0.003 s
% 0.61/0.82  % (7896)Time elapsed: 0.003 s
% 0.61/0.82  % (7900)Instructions burned: 3 (million)
% 0.61/0.82  % (7896)Instructions burned: 3 (million)
% 0.61/0.82  % (7899)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  % (7903)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)
% 0.61/0.82  
% 0.61/0.82  % (7899)Memory used [KB]: 965
% 0.61/0.82  % (7899)Time elapsed: 0.003 s
% 0.61/0.82  % (7899)Instructions burned: 2 (million)
% 0.61/0.82  % (7900)------------------------------
% 0.61/0.82  % (7900)------------------------------
% 0.61/0.82  % (7896)------------------------------
% 0.61/0.82  % (7896)------------------------------
% 0.61/0.82  % (7899)------------------------------
% 0.61/0.82  % (7899)------------------------------
% 0.61/0.83  % (7903)Refutation not found, incomplete strategy% (7903)------------------------------
% 0.61/0.83  % (7903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (7903)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (7903)Memory used [KB]: 967
% 0.61/0.83  % (7903)Time elapsed: 0.003 s
% 0.61/0.83  % (7903)Instructions burned: 3 (million)
% 0.61/0.83  % (7903)------------------------------
% 0.61/0.83  % (7903)------------------------------
% 0.61/0.83  % (7905)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 (2995ds/55Mi)
% 0.61/0.83  % (7907)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 (2995ds/208Mi)
% 0.61/0.83  % (7906)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 (2995ds/50Mi)
% 0.61/0.83  % (7908)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 (2995ds/52Mi)
% 0.61/0.83  % (7906)Refutation not found, incomplete strategy% (7906)------------------------------
% 0.61/0.83  % (7906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (7906)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (7906)Memory used [KB]: 965
% 0.61/0.83  % (7906)Time elapsed: 0.003 s
% 0.61/0.83  % (7906)Instructions burned: 3 (million)
% 0.61/0.83  % (7906)------------------------------
% 0.61/0.83  % (7906)------------------------------
% 0.61/0.83  % (7910)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 (2995ds/518Mi)
% 0.68/0.84  % (7908)First to succeed.
% 0.68/0.84  % (7908)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7827"
% 0.68/0.84  % (7908)Refutation found. Thanks to Tanya!
% 0.68/0.84  % SZS status Theorem for Vampire---4
% 0.68/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.84  % (7908)------------------------------
% 0.68/0.84  % (7908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (7908)Termination reason: Refutation
% 0.68/0.84  
% 0.68/0.84  % (7908)Memory used [KB]: 1154
% 0.68/0.84  % (7908)Time elapsed: 0.014 s
% 0.68/0.84  % (7908)Instructions burned: 21 (million)
% 0.68/0.84  % (7827)Success in time 0.482 s
% 0.68/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------