%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA039-2 : 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 : n005.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 1.16s 0.52s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(unit_resulting_resolution,[],[f11,f14,f15,f21,f7]) ).

fof(f7,axiom,
    ! [X2,X1,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X1)
      | ~ c_lessequals(c_0,X7,X1)
      | c_lessequals(c_times(X2,X7,X1),c_times(X6,X7,X1),X1)
      | ~ c_lessequals(X2,X6,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

fof(f21,plain,
    ~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_a),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    inference(unit_resulting_resolution,[],[f1,f2,f12,f6]) ).

fof(f6,axiom,
    ! [X3,X1,X4,X5] :
      ( ~ class_Orderings_Oorder(X1)
      | c_lessequals(X5,X4,X1)
      | ~ c_lessequals(X3,X4,X1)
      | ~ c_lessequals(X5,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f12,plain,
    class_Orderings_Oorder(t_a),
    inference(unit_resulting_resolution,[],[f3,f9]) ).

fof(f9,axiom,
    ! [X8] :
      ( class_Orderings_Oorder(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f3,axiom,
    class_Ring__and__Field_Oordered__idom(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f2,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1,axiom,
    ! [X0] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f15,plain,
    ! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
    inference(unit_resulting_resolution,[],[f13,f5]) ).

fof(f5,axiom,
    ! [X2,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
      | c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f13,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(unit_resulting_resolution,[],[f3,f10]) ).

fof(f10,axiom,
    ! [X8] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f14,plain,
    ! [X0] : c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a),
    inference(unit_resulting_resolution,[],[f13,f4]) ).

fof(f4,axiom,
    ! [X2,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
      | c_lessequals(X2,c_HOL_Oabs(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).

fof(f11,plain,
    class_Ring__and__Field_Opordered__semiring(t_a),
    inference(unit_resulting_resolution,[],[f3,f8]) ).

fof(f8,axiom,
    ! [X8] :
      ( class_Ring__and__Field_Opordered__semiring(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 15:18:48 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 1.16/0.51  % (16281)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.16/0.52  % (16273)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.16/0.52  % (16266)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.16/0.52  % (16268)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.16/0.52  % (16256)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.16/0.52  % (16266)First to succeed.
% 1.16/0.52  % (16266)Refutation found. Thanks to Tanya!
% 1.16/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.16/0.52  % (16266)------------------------------
% 1.16/0.52  % (16266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.16/0.52  % (16266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.16/0.52  % (16266)Termination reason: Refutation
% 1.16/0.52  
% 1.16/0.52  % (16266)Memory used [KB]: 5884
% 1.16/0.52  % (16266)Time elapsed: 0.107 s
% 1.16/0.52  % (16266)Instructions burned: 3 (million)
% 1.16/0.52  % (16266)------------------------------
% 1.16/0.52  % (16266)------------------------------
% 1.16/0.52  % (16255)Success in time 0.159 s
%------------------------------------------------------------------------------