TSTP Solution File: ANA037-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA037-2 : 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 : 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 : Wed Aug 31 15:44:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(unit_resulting_resolution,[],[f12,f1,f14,f15,f7]) ).

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

fof(f15,plain,
    ~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
    inference(unit_resulting_resolution,[],[f2,f3,f13,f6]) ).

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

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

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

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

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

fof(f2,axiom,
    c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f14,plain,
    ! [X0,X1] : c_lessequals(X0,c_Orderings_Omax(X0,X1,t_b),t_b),
    inference(unit_resulting_resolution,[],[f11,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0)
      | ~ class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).

fof(f11,plain,
    class_Orderings_Olinorder(t_b),
    inference(unit_resulting_resolution,[],[f4,f8]) ).

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

fof(f1,axiom,
    c_lessequals(c_0,v_f(v_xa),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f12,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(unit_resulting_resolution,[],[f4,f9]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.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 15:15:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (9206)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)
% 0.19/0.51  % (9217)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)
% 0.19/0.51  % (9206)Refutation not found, incomplete strategy% (9206)------------------------------
% 0.19/0.51  % (9206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9206)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (9206)Memory used [KB]: 1407
% 0.19/0.51  % (9206)Time elapsed: 0.101 s
% 0.19/0.51  % (9206)Instructions burned: 2 (million)
% 0.19/0.51  % (9206)------------------------------
% 0.19/0.51  % (9206)------------------------------
% 0.19/0.51  % (9225)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (9225)First to succeed.
% 0.19/0.52  % (9225)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (9225)------------------------------
% 0.19/0.52  % (9225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9225)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (9225)Memory used [KB]: 1407
% 0.19/0.52  % (9225)Time elapsed: 0.116 s
% 0.19/0.52  % (9225)Instructions burned: 3 (million)
% 0.19/0.52  % (9225)------------------------------
% 0.19/0.52  % (9225)------------------------------
% 0.19/0.52  % (9204)Success in time 0.165 s
%------------------------------------------------------------------------------