TSTP Solution File: ANA044-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n016.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 Aug 31 15:44:45 EDT 2022

% Result   : Unsatisfiable 1.30s 0.51s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   30 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  20   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(subsumption_resolution,[],[f16,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f16,plain,
    ~ c_lessequals(c_0,v_l(v_x,v_xa),t_b),
    inference(subsumption_resolution,[],[f15,f10]) ).

fof(f10,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(t_b),
    inference(resolution,[],[f4,f7]) ).

fof(f7,axiom,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | class_Ring__and__Field_Opordered__cancel__semiring(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).

fof(f4,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f15,plain,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
    | ~ c_lessequals(c_0,v_l(v_x,v_xa),t_b) ),
    inference(subsumption_resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0] : c_lessequals(c_0,v_h(X0),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f14,plain,
    ( ~ c_lessequals(c_0,v_h(v_k(v_x,v_xa)),t_b)
    | ~ c_lessequals(c_0,v_l(v_x,v_xa),t_b)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
    inference(resolution,[],[f13,f6]) ).

fof(f6,axiom,
    ! [X2,X4,X5] :
      ( c_lessequals(c_0,c_times(X5,X4,X2),X2)
      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
      | ~ c_lessequals(c_0,X5,X2)
      | ~ c_lessequals(c_0,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

fof(f13,plain,
    ~ c_lessequals(c_0,c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
    inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(resolution,[],[f4,f8]) ).

fof(f8,axiom,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | class_OrderedGroup_Olordered__ab__group__abs(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f12,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | ~ c_lessequals(c_0,c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ),
    inference(trivial_inequality_removal,[],[f11]) ).

fof(f11,plain,
    ( ~ c_lessequals(c_0,c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)
    | c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    inference(superposition,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X2,X3] :
      ( c_HOL_Oabs(X3,X2) = X3
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
      | ~ c_lessequals(c_0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(f3,axiom,
    c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:53:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (17760)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (17776)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.49  % (17768)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (17760)First to succeed.
% 0.18/0.49  TRYING [1]
% 0.18/0.50  % (17769)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (17754)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.50  % (17759)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50  % (17761)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (17769)Instruction limit reached!
% 0.18/0.50  % (17769)------------------------------
% 0.18/0.50  % (17769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (17769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (17769)Termination reason: Unknown
% 0.18/0.50  % (17769)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (17769)Memory used [KB]: 5756
% 0.18/0.50  % (17769)Time elapsed: 0.100 s
% 0.18/0.50  % (17769)Instructions burned: 2 (million)
% 0.18/0.50  % (17769)------------------------------
% 0.18/0.50  % (17769)------------------------------
% 0.18/0.51  % (17755)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.30/0.51  % (17761)Instruction limit reached!
% 1.30/0.51  % (17761)------------------------------
% 1.30/0.51  % (17761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (17782)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.51  % (17761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (17761)Termination reason: Unknown
% 1.30/0.51  % (17761)Termination phase: Saturation
% 1.30/0.51  
% 1.30/0.51  % (17761)Memory used [KB]: 5756
% 1.30/0.51  % (17761)Time elapsed: 0.113 s
% 1.30/0.51  % (17761)Instructions burned: 4 (million)
% 1.30/0.51  % (17761)------------------------------
% 1.30/0.51  % (17761)------------------------------
% 1.30/0.51  TRYING [2]
% 1.30/0.51  TRYING [3]
% 1.30/0.51  % (17782)Also succeeded, but the first one will report.
% 1.30/0.51  % (17760)Refutation found. Thanks to Tanya!
% 1.30/0.51  % SZS status Unsatisfiable for theBenchmark
% 1.30/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.51  % (17760)------------------------------
% 1.30/0.51  % (17760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (17760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (17760)Termination reason: Refutation
% 1.30/0.51  
% 1.30/0.51  % (17760)Memory used [KB]: 5756
% 1.30/0.51  % (17760)Time elapsed: 0.101 s
% 1.30/0.51  % (17760)Instructions burned: 2 (million)
% 1.30/0.51  % (17760)------------------------------
% 1.30/0.51  % (17760)------------------------------
% 1.30/0.51  % (17752)Success in time 0.168 s
%------------------------------------------------------------------------------