TSTP Solution File: ANA009-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ANA009-2 : 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_sat --cores 0 -t %d %s

% Computer : n008.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 15:44:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   23 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,plain,
    $false,
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f15,plain,
    ~ class_Ring__and__Field_Oordered__idom(t_b),
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X5] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | ~ class_Ring__and__Field_Oordered__idom(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).

fof(f14,plain,
    ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X4] : c_lessequals(v_lb(X4),v_f(X4),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f12,plain,
    ( ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f10,plain,
    ! [X0,X1] :
      ( c_lessequals(c_0,c_plus(X1,c_uminus(X0,t_b),t_b),t_b)
      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
      | ~ c_lessequals(X0,X1,t_b) ),
    inference(superposition,[],[f1,f9]) ).

fof(f9,plain,
    ! [X0] : c_0 = c_plus(X0,c_uminus(X0,t_b),t_b),
    inference(resolution,[],[f8,f7]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | c_0 = c_plus(X0,c_uminus(X0,X1),X1) ),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X5] :
      ( class_OrderedGroup_Oab__group__add(X5)
      | ~ class_Ring__and__Field_Oordered__idom(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:18:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (14248)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (14240)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (14240)First to succeed.
% 0.19/0.50  % (14255)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (14246)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (14248)Also succeeded, but the first one will report.
% 0.19/0.50  % (14240)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (14240)------------------------------
% 0.19/0.50  % (14240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14240)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (14240)Memory used [KB]: 895
% 0.19/0.50  % (14240)Time elapsed: 0.083 s
% 0.19/0.50  % (14240)Instructions burned: 2 (million)
% 0.19/0.50  % (14240)------------------------------
% 0.19/0.50  % (14240)------------------------------
% 0.19/0.50  % (14230)Success in time 0.154 s
%------------------------------------------------------------------------------