TSTP Solution File: NUM848+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 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 : Wed May  1 03:34:52 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  12 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f78,plain,
    $false,
    inference(trivial_inequality_removal,[],[f77]) ).

fof(f77,plain,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(superposition,[],[f45,f49]) ).

fof(f49,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f36,f40]) ).

fof(f40,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X8] : vplus(v1,X8) = vsucc(X8),
    file('/export/starexec/sandbox2/tmp/tmp.RPojySugMP/Vampire---4.8_9376','ass(cond(43, 0), 0)') ).

fof(f36,plain,
    ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( vmul(X0,v1) = X0
      & vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.RPojySugMP/Vampire---4.8_9376','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(f45,plain,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
    inference(definition_unfolding,[],[f28,f40]) ).

fof(f28,plain,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
    file('/export/starexec/sandbox2/tmp/tmp.RPojySugMP/Vampire---4.8_9376','holds(286, 441, 4)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 16:44:48 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RPojySugMP/Vampire---4.8_9376
% 0.61/0.81  % (9489)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (9490)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)
% 0.61/0.81  % (9492)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)
% 0.61/0.81  % (9491)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)
% 0.61/0.81  % (9487)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)
% 0.61/0.81  % (9488)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)
% 0.61/0.81  % (9493)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)
% 0.61/0.81  % (9494)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)
% 0.61/0.81  % (9491)Refutation not found, incomplete strategy% (9491)------------------------------
% 0.61/0.81  % (9491)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9491)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (9491)Memory used [KB]: 972
% 0.61/0.81  % (9491)Time elapsed: 0.003 s
% 0.61/0.81  % (9491)Instructions burned: 3 (million)
% 0.61/0.81  % (9492)Refutation not found, incomplete strategy% (9492)------------------------------
% 0.61/0.81  % (9492)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9491)------------------------------
% 0.61/0.81  % (9491)------------------------------
% 0.61/0.81  % (9492)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (9492)Memory used [KB]: 955
% 0.61/0.81  % (9492)Time elapsed: 0.003 s
% 0.61/0.81  % (9492)Instructions burned: 2 (million)
% 0.61/0.81  % (9492)------------------------------
% 0.61/0.81  % (9492)------------------------------
% 0.61/0.81  % (9494)Refutation not found, incomplete strategy% (9494)------------------------------
% 0.61/0.81  % (9494)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9490)Refutation not found, incomplete strategy% (9490)------------------------------
% 0.61/0.81  % (9490)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9490)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (9487)Refutation not found, incomplete strategy% (9487)------------------------------
% 0.61/0.81  % (9487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9493)Refutation not found, incomplete strategy% (9493)------------------------------
% 0.61/0.81  % (9493)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9490)Memory used [KB]: 967
% 0.61/0.81  % (9487)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (9493)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  % (9490)Time elapsed: 0.003 s
% 0.61/0.81  
% 0.61/0.81  % (9487)Memory used [KB]: 974
% 0.61/0.81  % (9490)Instructions burned: 3 (million)
% 0.61/0.81  % (9493)Memory used [KB]: 959
% 0.61/0.81  % (9487)Time elapsed: 0.003 s
% 0.61/0.81  % (9490)------------------------------
% 0.61/0.81  % (9490)------------------------------
% 0.61/0.81  % (9493)Time elapsed: 0.003 s
% 0.61/0.81  % (9487)Instructions burned: 3 (million)
% 0.61/0.81  % (9493)Instructions burned: 3 (million)
% 0.61/0.81  % (9487)------------------------------
% 0.61/0.81  % (9487)------------------------------
% 0.61/0.81  % (9493)------------------------------
% 0.61/0.81  % (9493)------------------------------
% 0.61/0.81  % (9494)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (9494)Memory used [KB]: 955
% 0.61/0.81  % (9494)Time elapsed: 0.003 s
% 0.61/0.81  % (9494)Instructions burned: 2 (million)
% 0.61/0.81  % (9494)------------------------------
% 0.61/0.81  % (9494)------------------------------
% 0.61/0.81  % (9488)First to succeed.
% 0.61/0.81  % (9488)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (9488)------------------------------
% 0.61/0.81  % (9488)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (9488)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (9488)Memory used [KB]: 1040
% 0.61/0.81  % (9488)Time elapsed: 0.004 s
% 0.61/0.81  % (9488)Instructions burned: 5 (million)
% 0.61/0.81  % (9488)------------------------------
% 0.61/0.81  % (9488)------------------------------
% 0.61/0.81  % (9484)Success in time 0.474 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------