TSTP Solution File: ANA014-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA014-2 : 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 : n014.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 02:07:16 EDT 2024

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  19 unt;   0 def)
%            Number of atoms       :   40 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f19]) ).

fof(f19,plain,
    ! [X0] : c_lessequals(X0,X0,t_a),
    inference(unit_resulting_resolution,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X1,X6] :
      ( c_lessequals(X6,X6,X1)
      | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

fof(f18,plain,
    class_Orderings_Oorder(t_a),
    inference(unit_resulting_resolution,[],[f3,f13]) ).

fof(f13,axiom,
    ! [X7] :
      ( class_Orderings_Oorder(X7)
      | ~ class_Ring__and__Field_Oordered__field(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',clsrel_Ring__and__Field_Oordered__field_58) ).

fof(f3,axiom,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',tfree_tcs) ).

fof(f72,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a),
    inference(superposition,[],[f26,f34]) ).

fof(f34,plain,
    ! [X0] : c_times(c_HOL_Oinverse(v_c,t_a),c_times(v_c,X0,t_a),t_a) = X0,
    inference(forward_demodulation,[],[f30,f20]) ).

fof(f20,plain,
    ! [X0] : c_times(c_1,X0,t_a) = X0,
    inference(unit_resulting_resolution,[],[f16,f4]) ).

fof(f4,axiom,
    ! [X2,X1] :
      ( ~ class_OrderedGroup_Omonoid__mult(X1)
      | c_times(c_1,X2,X1) = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

fof(f16,plain,
    class_OrderedGroup_Omonoid__mult(t_a),
    inference(unit_resulting_resolution,[],[f14,f9]) ).

fof(f9,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | class_OrderedGroup_Omonoid__mult(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',clsrel_Ring__and__Field_Ofield_12) ).

fof(f14,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(unit_resulting_resolution,[],[f3,f11]) ).

fof(f11,axiom,
    ! [X7] :
      ( class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Oordered__field(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',clsrel_Ring__and__Field_Oordered__field_0) ).

fof(f30,plain,
    ! [X0] : c_times(c_1,X0,t_a) = c_times(c_HOL_Oinverse(v_c,t_a),c_times(v_c,X0,t_a),t_a),
    inference(superposition,[],[f22,f21]) ).

fof(f21,plain,
    c_1 = c_times(c_HOL_Oinverse(v_c,t_a),v_c,t_a),
    inference(unit_resulting_resolution,[],[f14,f1,f8]) ).

fof(f8,axiom,
    ! [X3,X1] :
      ( ~ class_Ring__and__Field_Ofield(X1)
      | c_0 = X3
      | c_1 = c_times(c_HOL_Oinverse(X3,X1),X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).

fof(f1,axiom,
    v_c != c_0,
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_conjecture_0) ).

fof(f22,plain,
    ! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
    inference(unit_resulting_resolution,[],[f15,f5]) ).

fof(f5,axiom,
    ! [X3,X1,X4,X5] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X1)
      | c_times(c_times(X3,X4,X1),X5,X1) = c_times(X3,c_times(X4,X5,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).

fof(f15,plain,
    class_OrderedGroup_Osemigroup__mult(t_a),
    inference(unit_resulting_resolution,[],[f14,f10]) ).

fof(f10,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | class_OrderedGroup_Osemigroup__mult(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',clsrel_Ring__and__Field_Ofield_21) ).

fof(f26,plain,
    ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),c_HOL_Oabs(c_times(X0,c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),t_a),t_a),t_a),
    inference(superposition,[],[f24,f23]) ).

fof(f23,plain,
    ! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
    inference(unit_resulting_resolution,[],[f17,f7]) ).

fof(f7,axiom,
    ! [X3,X1,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | c_HOL_Oabs(c_times(X3,X4,X1),X1) = c_times(c_HOL_Oabs(X3,X1),c_HOL_Oabs(X4,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_Ring__and__Field_Oabs__mult_0) ).

fof(f17,plain,
    class_Ring__and__Field_Oordered__idom(t_a),
    inference(unit_resulting_resolution,[],[f3,f12]) ).

fof(f12,axiom,
    ! [X7] :
      ( class_Ring__and__Field_Oordered__idom(X7)
      | ~ class_Ring__and__Field_Oordered__field(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',clsrel_Ring__and__Field_Oordered__field_34) ).

fof(f24,plain,
    ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_a),t_a),t_a),t_a),
    inference(backward_demodulation,[],[f2,f23]) ).

fof(f2,axiom,
    ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),t_a),
    file('/export/starexec/sandbox/tmp/tmp.nI3qNjxTou/Vampire---4.8_4147',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:53:33 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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.nI3qNjxTou/Vampire---4.8_4147
% 0.58/0.75  % (4405)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)
% 0.58/0.75  % (4405)Refutation not found, incomplete strategy% (4405)------------------------------
% 0.58/0.75  % (4405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (4399)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)
% 0.58/0.75  % (4405)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (4405)Memory used [KB]: 957
% 0.58/0.75  % (4405)Time elapsed: 0.002 s
% 0.58/0.75  % (4405)Instructions burned: 3 (million)
% 0.58/0.75  % (4405)------------------------------
% 0.58/0.75  % (4405)------------------------------
% 0.58/0.75  % (4401)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (4400)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)
% 0.58/0.75  % (4404)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)
% 0.58/0.75  % (4403)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)
% 0.58/0.75  % (4399)Refutation not found, incomplete strategy% (4399)------------------------------
% 0.58/0.75  % (4399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (4399)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (4399)Memory used [KB]: 966
% 0.58/0.75  % (4399)Time elapsed: 0.003 s
% 0.58/0.75  % (4399)Instructions burned: 2 (million)
% 0.58/0.75  % (4399)------------------------------
% 0.58/0.75  % (4399)------------------------------
% 0.58/0.75  % (4403)Refutation not found, incomplete strategy% (4403)------------------------------
% 0.58/0.75  % (4403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (4403)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (4403)Memory used [KB]: 967
% 0.58/0.76  % (4403)Time elapsed: 0.003 s
% 0.58/0.76  % (4403)Instructions burned: 2 (million)
% 0.58/0.76  % (4403)------------------------------
% 0.58/0.76  % (4403)------------------------------
% 0.58/0.76  % (4404)Refutation not found, incomplete strategy% (4404)------------------------------
% 0.58/0.76  % (4404)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (4404)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (4404)Memory used [KB]: 966
% 0.58/0.76  % (4404)Time elapsed: 0.003 s
% 0.58/0.76  % (4404)Instructions burned: 2 (million)
% 0.58/0.76  % (4404)------------------------------
% 0.58/0.76  % (4404)------------------------------
% 0.58/0.76  % (4402)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)
% 0.58/0.76  % (4406)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)
% 0.58/0.76  % (4407)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)
% 0.58/0.76  % (4402)Refutation not found, incomplete strategy% (4402)------------------------------
% 0.58/0.76  % (4402)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (4402)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (4402)Memory used [KB]: 950
% 0.58/0.76  % (4402)Time elapsed: 0.004 s
% 0.58/0.76  % (4402)Instructions burned: 2 (million)
% 0.58/0.76  % (4402)------------------------------
% 0.58/0.76  % (4402)------------------------------
% 0.58/0.76  % (4406)Refutation not found, incomplete strategy% (4406)------------------------------
% 0.58/0.76  % (4406)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (4406)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (4406)Memory used [KB]: 952
% 0.58/0.76  % (4406)Time elapsed: 0.002 s
% 0.58/0.76  % (4406)Instructions burned: 2 (million)
% 0.58/0.76  % (4406)------------------------------
% 0.58/0.76  % (4406)------------------------------
% 0.58/0.76  % (4407)First to succeed.
% 0.58/0.76  % (4407)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (4407)------------------------------
% 0.58/0.76  % (4407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (4407)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (4407)Memory used [KB]: 1054
% 0.58/0.76  % (4407)Time elapsed: 0.003 s
% 0.58/0.76  % (4407)Instructions burned: 7 (million)
% 0.58/0.76  % (4407)------------------------------
% 0.58/0.76  % (4407)------------------------------
% 0.58/0.76  % (4395)Success in time 0.385 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------