TSTP Solution File: ANA038-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA038-2 : 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 : n010.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 15:44:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  21   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f192,plain,
    $false,
    inference(subsumption_resolution,[],[f187,f23]) ).

fof(f23,plain,
    ! [X0,X1] : c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
    inference(resolution,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
      | ~ class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).

fof(f12,plain,
    class_Orderings_Olinorder(t_b),
    inference(resolution,[],[f4,f8]) ).

fof(f8,axiom,
    ! [X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | class_Orderings_Olinorder(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

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

fof(f187,plain,
    ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
    inference(resolution,[],[f52,f3]) ).

fof(f3,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f52,plain,
    ! [X0] :
      ( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
      | ~ c_lessequals(v_ca,X0,t_b) ),
    inference(subsumption_resolution,[],[f51,f1]) ).

fof(f1,axiom,
    c_lessequals(c_0,v_g(v_xa),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f51,plain,
    ! [X0] :
      ( ~ c_lessequals(c_0,v_g(v_xa),t_b)
      | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
      | ~ c_lessequals(v_ca,X0,t_b) ),
    inference(subsumption_resolution,[],[f47,f11]) ).

fof(f11,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(resolution,[],[f4,f9]) ).

fof(f9,axiom,
    ! [X8] :
      ( class_Ring__and__Field_Opordered__semiring(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

fof(f47,plain,
    ! [X0] :
      ( ~ c_lessequals(v_ca,X0,t_b)
      | ~ class_Ring__and__Field_Opordered__semiring(t_b)
      | ~ c_lessequals(c_0,v_g(v_xa),t_b)
      | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b) ),
    inference(resolution,[],[f30,f7]) ).

fof(f7,axiom,
    ! [X3,X6,X7,X5] :
      ( ~ c_lessequals(X5,X6,X3)
      | ~ c_lessequals(c_0,X7,X3)
      | ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(c_times(X5,X7,X3),c_times(X6,X7,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

fof(f30,plain,
    ! [X2] :
      ( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X2,t_b)
      | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X2,t_b) ),
    inference(subsumption_resolution,[],[f27,f13]) ).

fof(f13,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[],[f4,f10]) ).

fof(f10,axiom,
    ! [X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | class_Orderings_Oorder(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f27,plain,
    ! [X2] :
      ( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X2,t_b)
      | ~ class_Orderings_Oorder(t_b)
      | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X2,t_b) ),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X1,X4] :
      ( c_lessequals(X2,X4,X3)
      | ~ class_Orderings_Oorder(X3)
      | ~ c_lessequals(X2,X1,X3)
      | ~ c_lessequals(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f2,axiom,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ANA038-2 : 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 : n010.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 15:07:29 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (32077)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)
% 0.19/0.46  % (32069)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)
% 0.19/0.46  TRYING [1]
% 0.19/0.47  % (32077)First to succeed.
% 0.19/0.47  TRYING [2]
% 0.19/0.47  TRYING [3]
% 0.19/0.47  % (32069)Instruction limit reached!
% 0.19/0.47  % (32069)------------------------------
% 0.19/0.47  % (32069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (32069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (32069)Termination reason: Unknown
% 0.19/0.47  % (32069)Termination phase: Finite model building SAT solving
% 0.19/0.47  
% 0.19/0.47  % (32069)Memory used [KB]: 6012
% 0.19/0.47  % (32069)Time elapsed: 0.076 s
% 0.19/0.47  % (32069)Instructions burned: 7 (million)
% 0.19/0.47  % (32069)------------------------------
% 0.19/0.47  % (32069)------------------------------
% 0.19/0.47  % (32077)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (32077)------------------------------
% 0.19/0.47  % (32077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (32077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (32077)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (32077)Memory used [KB]: 6012
% 0.19/0.47  % (32077)Time elapsed: 0.072 s
% 0.19/0.47  % (32077)Instructions burned: 11 (million)
% 0.19/0.47  % (32077)------------------------------
% 0.19/0.47  % (32077)------------------------------
% 0.19/0.47  % (32053)Success in time 0.132 s
%------------------------------------------------------------------------------