TSTP Solution File: MSC012+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n023.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 03:22:15 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  37   ~;  32   |;   7   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   47 (  43   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f46]) ).

fof(f46,plain,
    ! [X0] : ~ p(X0),
    inference(subsumption_resolution,[],[f43,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ p(sK1(X0))
      | ~ p(X0) ),
    inference(resolution,[],[f22,f20]) ).

fof(f20,plain,
    ! [X0] : less(X0,sK1(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] : less(X0,sK1(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f4,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1] : less(X0,X1)
     => less(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f4,axiom,
    ! [X0] :
    ? [X1] : less(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.ctK2WsaSmf/Vampire---4.8_12712',serial_less) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ p(X0)
      | ~ p(X1) ),
    inference(resolution,[],[f21,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( goal
      | ~ p(X1)
      | ~ less(X0,X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( goal
      | ~ p(X1)
      | ~ less(X0,X1)
      | ~ p(X0) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( goal
      | ~ p(X1)
      | ~ less(X0,X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( p(X1)
        & less(X0,X1)
        & p(X0) )
     => goal ),
    file('/export/starexec/sandbox/tmp/tmp.ctK2WsaSmf/Vampire---4.8_12712',left_to_right) ).

fof(f21,plain,
    ~ goal,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ goal,
    inference(flattening,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ goal,
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    goal,
    file('/export/starexec/sandbox/tmp/tmp.ctK2WsaSmf/Vampire---4.8_12712',goal_to_be_proved) ).

fof(f43,plain,
    ! [X0] :
      ( ~ p(X0)
      | p(sK1(X0)) ),
    inference(resolution,[],[f37,f18]) ).

fof(f18,plain,
    ! [X0] :
      ( p(sK0(X0))
      | p(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ( p(sK0(X0))
        & less(X0,sK0(X0)) )
      | p(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f2,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ? [X1] :
          ( p(X1)
          & less(X0,X1) )
     => ( p(sK0(X0))
        & less(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ! [X0] :
      ( ? [X1] :
          ( p(X1)
          & less(X0,X1) )
      | p(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ctK2WsaSmf/Vampire---4.8_12712',right_to_left) ).

fof(f37,plain,
    ! [X0] :
      ( ~ p(sK0(sK1(X0)))
      | ~ p(X0) ),
    inference(resolution,[],[f31,f20]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ p(sK0(X1))
      | ~ p(X0) ),
    inference(subsumption_resolution,[],[f28,f22]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ p(X0)
      | ~ p(sK0(X1))
      | ~ less(X0,X1)
      | p(X1) ),
    inference(resolution,[],[f24,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( less(X0,sK0(X0))
      | p(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ less(X2,X0)
      | ~ p(X1)
      | ~ p(X0)
      | ~ less(X1,X2) ),
    inference(resolution,[],[f22,f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X1,X2)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X1,X2)
      | ~ less(X0,X1) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X1,X2)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ( less(X1,X2)
        & less(X0,X1) )
     => less(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ctK2WsaSmf/Vampire---4.8_12712',transitive_less) ).

fof(f50,plain,
    ! [X0] : p(X0),
    inference(resolution,[],[f46,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % 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
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Apr 30 16:46:40 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.14/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.34  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.ctK2WsaSmf/Vampire---4.8_12712
% 0.57/0.74  % (12969)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)
% 0.57/0.74  % (12969)Refutation not found, incomplete strategy% (12969)------------------------------
% 0.57/0.74  % (12969)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12969)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (12969)Memory used [KB]: 949
% 0.57/0.74  % (12969)Time elapsed: 0.002 s
% 0.57/0.74  % (12969)Instructions burned: 2 (million)
% 0.57/0.74  % (12969)------------------------------
% 0.57/0.74  % (12969)------------------------------
% 0.57/0.74  % (12965)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (12966)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)
% 0.57/0.74  % (12964)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)
% 0.57/0.74  % (12963)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)
% 0.57/0.74  % (12967)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)
% 0.57/0.74  % (12968)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)
% 0.57/0.74  % (12963)Refutation not found, incomplete strategy% (12963)------------------------------
% 0.57/0.74  % (12963)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12963)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  % (12966)Refutation not found, incomplete strategy% (12966)------------------------------
% 0.57/0.74  % (12966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12966)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (12966)Memory used [KB]: 942
% 0.57/0.74  % (12966)Time elapsed: 0.002 s
% 0.57/0.74  % (12966)Instructions burned: 2 (million)
% 0.57/0.74  % (12966)------------------------------
% 0.57/0.74  % (12966)------------------------------
% 0.57/0.74  
% 0.57/0.74  % (12963)Memory used [KB]: 942
% 0.57/0.74  % (12963)Time elapsed: 0.002 s
% 0.57/0.74  % (12963)Instructions burned: 2 (million)
% 0.57/0.74  % (12963)------------------------------
% 0.57/0.74  % (12963)------------------------------
% 0.57/0.74  % (12968)Refutation not found, incomplete strategy% (12968)------------------------------
% 0.57/0.74  % (12968)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12968)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (12968)Memory used [KB]: 946
% 0.57/0.74  % (12968)Time elapsed: 0.002 s
% 0.57/0.74  % (12968)Instructions burned: 2 (million)
% 0.57/0.74  % (12968)------------------------------
% 0.57/0.74  % (12968)------------------------------
% 0.57/0.74  % (12967)First to succeed.
% 0.57/0.74  % (12970)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)
% 0.57/0.74  % (12964)Also succeeded, but the first one will report.
% 0.57/0.74  % (12967)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (12967)------------------------------
% 0.57/0.74  % (12967)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12967)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (12967)Memory used [KB]: 977
% 0.57/0.74  % (12967)Time elapsed: 0.003 s
% 0.57/0.74  % (12967)Instructions burned: 3 (million)
% 0.57/0.74  % (12967)------------------------------
% 0.57/0.74  % (12967)------------------------------
% 0.57/0.74  % (12959)Success in time 0.39 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------