TSTP Solution File: ANA019-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA019-2 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 : Mon May 20 18:40:06 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   49 (  12 unt;   0 def)
%            Number of atoms       :   94 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   90 (  45   ~;  42   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   4 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f61,f65,f68]) ).

fof(f68,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f66,f2]) ).

fof(f2,axiom,
    c_less(c_0,v_x,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f66,plain,
    ( ~ c_less(c_0,v_x,t_a)
    | spl0_4 ),
    inference(resolution,[],[f60,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,t_a)
      | ~ c_less(X0,X1,t_a) ),
    inference(resolution,[],[f18,f5]) ).

fof(f5,axiom,
    class_Ring__and__Field_Oordered__idom(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X2)
      | c_lessequals(X0,X1,X2)
      | ~ c_less(X0,X1,X2) ),
    inference(resolution,[],[f10,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( class_Orderings_Oorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(resolution,[],[f13,f12]) ).

fof(f12,axiom,
    ! [X7] :
      ( ~ class_LOrder_Ojoin__semilorder(X7)
      | class_Orderings_Oorder(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(f13,axiom,
    ! [X7] :
      ( class_LOrder_Ojoin__semilorder(X7)
      | ~ class_Ring__and__Field_Oordered__idom(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

fof(f10,axiom,
    ! [X3,X1,X5] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_less(X1,X5,X3)
      | c_lessequals(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

fof(f60,plain,
    ( ~ c_lessequals(c_0,v_x,t_a)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_4
  <=> c_lessequals(c_0,v_x,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f65,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f63,f5]) ).

fof(f63,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | spl0_3 ),
    inference(resolution,[],[f56,f14]) ).

fof(f14,axiom,
    ! [X7] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | ~ class_Ring__and__Field_Oordered__idom(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).

fof(f56,plain,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_3
  <=> class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f61,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f52,f23,f58,f54]) ).

fof(f23,plain,
    ( spl0_1
  <=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f52,plain,
    ( ~ c_lessequals(c_0,v_x,t_a)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f51,f19]) ).

fof(f19,plain,
    ! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
    inference(resolution,[],[f17,f5]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1) ),
    inference(resolution,[],[f9,f15]) ).

fof(f15,axiom,
    ! [X7] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X7)
      | ~ class_Ring__and__Field_Oordered__idom(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f9,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
      | c_lessequals(c_0,c_HOL_Oabs(X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f51,plain,
    ( ~ c_lessequals(c_0,v_x,t_a)
    | ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f11]) ).

fof(f11,axiom,
    ! [X3,X6,X4] :
      ( c_lessequals(c_0,c_times(X4,X6,X3),X3)
      | ~ c_lessequals(c_0,X4,X3)
      | ~ c_lessequals(c_0,X6,X3)
      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

fof(f46,plain,
    ( ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f45,f24]) ).

fof(f24,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f45,plain,
    ( ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
    inference(superposition,[],[f42,f8]) ).

fof(f8,axiom,
    ! [X3] :
      ( c_0 = c_HOL_Oabs(c_0,X3)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).

fof(f42,plain,
    ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
    inference(forward_demodulation,[],[f41,f1]) ).

fof(f1,axiom,
    c_0 = v_f(c_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f41,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
    inference(subsumption_resolution,[],[f40,f2]) ).

fof(f40,plain,
    ( ~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | ~ c_less(c_0,v_x,t_a) ),
    inference(superposition,[],[f4,f38]) ).

fof(f38,plain,
    c_0 = v_xa(v_x),
    inference(subsumption_resolution,[],[f36,f2]) ).

fof(f36,plain,
    ( c_0 = v_xa(v_x)
    | ~ c_less(c_0,v_x,t_a) ),
    inference(resolution,[],[f34,f4]) ).

fof(f34,plain,
    ! [X0] :
      ( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
      | c_0 = X0 ),
    inference(superposition,[],[f3,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
      | c_0 = X0 ),
    inference(resolution,[],[f6,f7]) ).

fof(f7,axiom,
    ! [X2] :
      ( c_less(c_0,X2,tc_nat)
      | c_0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).

fof(f6,axiom,
    ! [X1] :
      ( ~ c_less(c_0,X1,tc_nat)
      | c_Suc(c_minus(X1,c_1,tc_nat)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).

fof(f3,axiom,
    ! [X0] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
      | ~ c_less(c_0,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f33,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f5]) ).

fof(f31,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | spl0_1 ),
    inference(resolution,[],[f25,f15]) ).

fof(f25,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ANA019-2 : TPTP v8.2.0. Released v3.2.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n003.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   : Mon May 20 07:39:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/benchmark/theBenchmark.p
% 0.55/0.75  % (28007)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75  % (28007)Refutation not found, incomplete strategy% (28007)------------------------------
% 0.55/0.75  % (28007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28007)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28007)Memory used [KB]: 953
% 0.55/0.75  % (28007)Time elapsed: 0.001 s
% 0.55/0.75  % (28007)Instructions burned: 2 (million)
% 0.55/0.75  % (28007)------------------------------
% 0.55/0.75  % (28007)------------------------------
% 0.55/0.75  % (28000)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.75  % (28002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75  % (28003)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75  % (28004)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.75  % (28005)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75  % (28006)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.75  % (28001)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.75  % (28000)Refutation not found, incomplete strategy% (28000)------------------------------
% 0.55/0.75  % (28000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28003)Refutation not found, incomplete strategy% (28003)------------------------------
% 0.55/0.75  % (28003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28000)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28000)Memory used [KB]: 968
% 0.55/0.75  % (28000)Time elapsed: 0.003 s
% 0.55/0.75  % (28000)Instructions burned: 2 (million)
% 0.55/0.75  % (28005)Refutation not found, incomplete strategy% (28005)------------------------------
% 0.55/0.75  % (28005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28005)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28005)Memory used [KB]: 953
% 0.55/0.75  % (28005)Time elapsed: 0.002 s
% 0.55/0.75  % (28005)Instructions burned: 2 (million)
% 0.55/0.75  % (28003)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28003)Memory used [KB]: 954
% 0.55/0.75  % (28003)Time elapsed: 0.003 s
% 0.55/0.75  % (28003)Instructions burned: 2 (million)
% 0.55/0.75  % (28000)------------------------------
% 0.55/0.75  % (28000)------------------------------
% 0.55/0.75  % (28005)------------------------------
% 0.55/0.75  % (28005)------------------------------
% 0.55/0.75  % (28004)Refutation not found, incomplete strategy% (28004)------------------------------
% 0.55/0.75  % (28004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28004)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28004)Memory used [KB]: 981
% 0.55/0.75  % (28004)Time elapsed: 0.003 s
% 0.55/0.75  % (28004)Instructions burned: 2 (million)
% 0.55/0.75  % (28003)------------------------------
% 0.55/0.75  % (28003)------------------------------
% 0.55/0.75  % (28004)------------------------------
% 0.55/0.75  % (28004)------------------------------
% 0.55/0.75  % (28008)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.75  % (28001)Also succeeded, but the first one will report.
% 0.55/0.75  % (28002)First to succeed.
% 0.55/0.75  % (28002)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27847"
% 0.55/0.75  % (28002)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.75  % (28002)------------------------------
% 0.55/0.75  % (28002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28002)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (28002)Memory used [KB]: 1048
% 0.55/0.75  % (28002)Time elapsed: 0.005 s
% 0.55/0.75  % (28002)Instructions burned: 5 (million)
% 0.55/0.75  % (27847)Success in time 0.381 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------