TSTP Solution File: NUM839+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM839+1 : 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 : n005.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 03:34:49 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   43 (  13 unt;   0 def)
%            Number of atoms       :   77 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (  31   ~;  27   |;   0   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(avatar_sat_refutation,[],[f89,f98,f107]) ).

fof(f107,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f106]) ).

fof(f106,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f100,f84]) ).

fof(f84,plain,
    ( greater(vd329,vd328)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl1_1
  <=> greater(vd329,vd328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f100,plain,
    ~ greater(vd329,vd328),
    inference(resolution,[],[f64,f72]) ).

fof(f72,plain,
    ~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
    inference(resolution,[],[f70,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X26,X27] :
      ( ~ less(X26,X27)
      | ~ greater(X26,X27) ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(goal(130), 0), 2)') ).

fof(f70,plain,
    less(vplus(vd329,vd330),vplus(vd328,vd330)),
    inference(resolution,[],[f55,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X24,X25] :
      ( greater(X24,X25)
     => less(X25,X24) ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(140, 0), 0)') ).

fof(f55,plain,
    greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','holds(antec(204), 331, 0)') ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
     => greater(vplus(X0,X2),vplus(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(goal(193), 0), 2)') ).

fof(f98,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f97]) ).

fof(f97,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f95,f66]) ).

fof(f66,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X26,X27] :
      ( ~ greater(X26,X27)
      | X26 != X27 ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(goal(130), 0), 3)') ).

fof(f95,plain,
    ( greater(vplus(vd328,vd330),vplus(vd328,vd330))
    | ~ spl1_2 ),
    inference(superposition,[],[f55,f88]) ).

fof(f88,plain,
    ( vd328 = vd329
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl1_2
  <=> vd328 = vd329 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f89,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f75,f86,f82]) ).

fof(f75,plain,
    ( vd328 = vd329
    | greater(vd329,vd328) ),
    inference(resolution,[],[f73,f54]) ).

fof(f54,plain,
    ~ greater(vd328,vd329),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ greater(vd328,vd329),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vd328,vd329),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vd328,vd329),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','holds(conseq(204), 332, 0)') ).

fof(f73,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | X0 = X1
      | greater(X0,X1) ),
    inference(resolution,[],[f60,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X22,X23] :
      ( less(X22,X23)
     => greater(X23,X22) ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(147, 0), 0)') ).

fof(f60,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X26,X27] :
      ( less(X26,X27)
      | greater(X26,X27)
      | X26 = X27 ),
    file('/export/starexec/sandbox2/tmp/tmp.YzpVF9CMhO/Vampire---4.8_2107','ass(cond(goal(130), 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14  % 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
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:49:11 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.YzpVF9CMhO/Vampire---4.8_2107
% 0.59/0.74  % (2486)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)
% 0.59/0.74  % (2486)Refutation not found, incomplete strategy% (2486)------------------------------
% 0.59/0.74  % (2486)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (2486)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (2486)Memory used [KB]: 1026
% 0.59/0.74  % (2486)Time elapsed: 0.002 s
% 0.59/0.74  % (2486)Instructions burned: 2 (million)
% 0.59/0.74  % (2486)------------------------------
% 0.59/0.74  % (2486)------------------------------
% 0.59/0.74  % (2479)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)
% 0.59/0.74  % (2481)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (2482)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)
% 0.59/0.74  % (2483)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)
% 0.59/0.74  % (2484)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)
% 0.59/0.74  % (2480)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)
% 0.59/0.74  % (2485)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)
% 0.59/0.75  % (2484)Refutation not found, incomplete strategy% (2484)------------------------------
% 0.59/0.75  % (2484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (2484)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (2484)Memory used [KB]: 1023
% 0.59/0.75  % (2484)Time elapsed: 0.003 s
% 0.59/0.75  % (2484)Instructions burned: 2 (million)
% 0.59/0.75  % (2484)------------------------------
% 0.59/0.75  % (2484)------------------------------
% 0.59/0.75  % (2479)Refutation not found, incomplete strategy% (2479)------------------------------
% 0.59/0.75  % (2479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (2483)Refutation not found, incomplete strategy% (2483)------------------------------
% 0.59/0.75  % (2483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (2483)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (2483)Memory used [KB]: 1039
% 0.59/0.75  % (2483)Time elapsed: 0.003 s
% 0.59/0.75  % (2483)Instructions burned: 4 (million)
% 0.59/0.75  % (2483)------------------------------
% 0.59/0.75  % (2483)------------------------------
% 0.59/0.75  % (2479)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (2479)Memory used [KB]: 1056
% 0.59/0.75  % (2479)Time elapsed: 0.003 s
% 0.59/0.75  % (2479)Instructions burned: 3 (million)
% 0.59/0.75  % (2479)------------------------------
% 0.59/0.75  % (2479)------------------------------
% 0.59/0.75  % (2487)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)
% 0.59/0.75  % (2488)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)
% 0.59/0.75  % (2489)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)
% 0.59/0.75  % (2490)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)
% 0.59/0.75  % (2489)First to succeed.
% 0.59/0.75  % (2489)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (2489)------------------------------
% 0.59/0.75  % (2489)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (2489)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (2489)Memory used [KB]: 1062
% 0.59/0.75  % (2489)Time elapsed: 0.005 s
% 0.59/0.75  % (2489)Instructions burned: 4 (million)
% 0.59/0.75  % (2489)------------------------------
% 0.59/0.75  % (2489)------------------------------
% 0.59/0.75  % (2389)Success in time 0.388 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------