TSTP Solution File: SWV281-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV281-2 : 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 : n031.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 04:03:12 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   43 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  17   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(avatar_sat_refutation,[],[f75,f93]) ).

fof(f93,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f92]) ).

fof(f92,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f83,f64]) ).

fof(f64,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_4
  <=> ! [X0,X1] : X0 = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f83,plain,
    ( ! [X3] : c_List_Olist_ONil != X3
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f64]) ).

fof(f2,axiom,
    ! [X2,X3,X4] : c_List_Olist_ONil != c_List_Olist_OCons(X2,X3,X4),
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_List_Olist_Odistinct__1_0) ).

fof(f75,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f74,f63]) ).

fof(f74,plain,
    ! [X0,X1] : X0 = X1,
    inference(subsumption_resolution,[],[f73,f32]) ).

fof(f32,plain,
    ! [X0] : c_0 = X0,
    inference(trivial_inequality_removal,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( v_sko__urX(v_evs_H) != v_sko__urX(v_evs_H)
      | c_0 = X0 ),
    inference(superposition,[],[f10,f18]) ).

fof(f18,plain,
    ! [X0] : v_sko__urX(v_evs_H) = c_plus(X0,v_sko__urX(v_evs_H),tc_nat),
    inference(backward_demodulation,[],[f16,f17]) ).

fof(f17,plain,
    v_sko__urX(v_evs_H) = v_sko__urX(v_evs),
    inference(resolution,[],[f14,f7]) ).

fof(f7,plain,
    ! [X0] : c_lessequals(X0,X0,tc_nat),
    inference(superposition,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X8] : c_plus(c_0,X8,tc_nat) = X8,
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_Nat_Oop_A_L_Oadd__0_0) ).

fof(f3,axiom,
    ! [X6,X5] : c_lessequals(X5,c_plus(X6,X5,tc_nat),tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_Nat_Ole__add2_0) ).

fof(f14,plain,
    ! [X0] :
      ( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
      | v_sko__urX(v_evs) = X0 ),
    inference(resolution,[],[f9,f7]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
      | X0 = X1
      | ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
    inference(resolution,[],[f8,f6]) ).

fof(f6,axiom,
    ! [X0,X9] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X9),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__urX(X9),X0,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_Public_ONonce__supply__lemma_0) ).

fof(f8,plain,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
      | X0 = X1 ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_conjecture_0) ).

fof(f16,plain,
    ! [X0] : v_sko__urX(v_evs) = c_plus(X0,v_sko__urX(v_evs_H),tc_nat),
    inference(resolution,[],[f14,f3]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( c_plus(X1,X0,tc_nat) != X0
      | c_0 = X1 ),
    inference(superposition,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X6,X7,X5] :
      ( c_plus(X6,X7,tc_nat) != c_plus(X5,X7,tc_nat)
      | X5 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.OeuAByZcFP/Vampire---4.8_21666',cls_Nat_Onat__add__right__cancel_0) ).

fof(f73,plain,
    ! [X0,X1] :
      ( c_0 != v_sko__urX(v_evs_H)
      | X0 = X1 ),
    inference(forward_demodulation,[],[f30,f32]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( v_sko__urX(v_evs_H) != c_plus(X1,v_sko__urX(v_evs_H),tc_nat)
      | X0 = X1 ),
    inference(superposition,[],[f4,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n031.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
% 0.14/0.36  % DateTime   : Tue Apr 30 19:06:59 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.OeuAByZcFP/Vampire---4.8_21666
% 0.56/0.74  % (21897)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)
% 0.56/0.74  % (21897)Refutation not found, incomplete strategy% (21897)------------------------------
% 0.56/0.74  % (21897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21897)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21897)Memory used [KB]: 945
% 0.56/0.74  % (21897)Time elapsed: 0.001 s
% 0.56/0.74  % (21897)Instructions burned: 2 (million)
% 0.56/0.74  % (21897)------------------------------
% 0.56/0.74  % (21897)------------------------------
% 0.56/0.74  % (21891)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)
% 0.56/0.74  % (21894)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)
% 0.56/0.74  % (21893)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (21896)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)
% 0.56/0.74  % (21898)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)
% 0.56/0.74  % (21894)Refutation not found, incomplete strategy% (21894)------------------------------
% 0.56/0.74  % (21894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21894)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21894)Memory used [KB]: 943
% 0.56/0.74  % (21894)Time elapsed: 0.002 s
% 0.56/0.74  % (21894)Instructions burned: 2 (million)
% 0.56/0.74  % (21894)------------------------------
% 0.56/0.74  % (21894)------------------------------
% 0.56/0.74  % (21896)Refutation not found, incomplete strategy% (21896)------------------------------
% 0.56/0.74  % (21896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21896)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21896)Memory used [KB]: 943
% 0.56/0.74  % (21896)Time elapsed: 0.002 s
% 0.56/0.74  % (21896)Instructions burned: 2 (million)
% 0.56/0.74  % (21896)------------------------------
% 0.56/0.74  % (21896)------------------------------
% 0.56/0.74  % (21898)Refutation not found, incomplete strategy% (21898)------------------------------
% 0.56/0.74  % (21898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21898)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21898)Memory used [KB]: 943
% 0.56/0.74  % (21898)Time elapsed: 0.002 s
% 0.56/0.74  % (21898)Instructions burned: 2 (million)
% 0.56/0.74  % (21898)------------------------------
% 0.56/0.74  % (21898)------------------------------
% 0.56/0.74  % (21895)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)
% 0.56/0.74  % (21891)Refutation not found, incomplete strategy% (21891)------------------------------
% 0.56/0.74  % (21891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21891)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21891)Memory used [KB]: 964
% 0.56/0.74  % (21891)Time elapsed: 0.002 s
% 0.56/0.74  % (21891)Instructions burned: 2 (million)
% 0.56/0.74  % (21892)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)
% 0.56/0.74  % (21891)------------------------------
% 0.56/0.74  % (21891)------------------------------
% 0.56/0.74  % (21893)First to succeed.
% 0.56/0.74  % (21900)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)
% 0.56/0.74  % (21900)Refutation not found, incomplete strategy% (21900)------------------------------
% 0.56/0.74  % (21900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (21900)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (21900)Memory used [KB]: 952
% 0.56/0.74  % (21900)Time elapsed: 0.001 s
% 0.56/0.74  % (21900)Instructions burned: 2 (million)
% 0.56/0.74  % (21900)------------------------------
% 0.56/0.74  % (21900)------------------------------
% 0.56/0.75  % (21892)Also succeeded, but the first one will report.
% 0.56/0.75  % (21893)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (21893)------------------------------
% 0.56/0.75  % (21893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (21893)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (21893)Memory used [KB]: 1003
% 0.56/0.75  % (21893)Time elapsed: 0.005 s
% 0.56/0.75  % (21893)Instructions burned: 5 (million)
% 0.56/0.75  % (21893)------------------------------
% 0.56/0.75  % (21893)------------------------------
% 0.56/0.75  % (21887)Success in time 0.38 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------