TSTP Solution File: ANA027-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ANA027-2 : 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 : 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 15:45:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  15 unt;   0 def)
%            Number of atoms       :   48 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (  20   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f32,f3]) ).

fof(f3,axiom,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f32,plain,
    c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    inference(resolution,[],[f30,f26]) ).

fof(f26,plain,
    c_lessequals(v_g(v_x),v_f(v_x),t_b),
    inference(resolution,[],[f25,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ c_lessequals(v_k(v_x),X0,t_b)
      | c_lessequals(v_g(v_x),X0,t_b) ),
    inference(resolution,[],[f20,f2]) ).

fof(f2,axiom,
    c_lessequals(v_g(v_x),v_k(v_x),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X2,t_b)
      | ~ c_lessequals(X2,X1,t_b)
      | c_lessequals(X0,X1,t_b) ),
    inference(resolution,[],[f8,f17]) ).

fof(f17,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X7] :
      ( ~ class_LOrder_Ojoin__semilorder(X7)
      | class_Orderings_Oorder(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(f16,plain,
    class_LOrder_Ojoin__semilorder(t_b),
    inference(resolution,[],[f11,f14]) ).

fof(f14,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(resolution,[],[f13,f4]) ).

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

fof(f13,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | class_OrderedGroup_Olordered__ab__group__abs(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f11,axiom,
    ! [X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
      | class_LOrder_Ojoin__semilorder(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

fof(f8,axiom,
    ! [X0,X1,X6,X5] :
      ( ~ class_Orderings_Oorder(X0)
      | c_lessequals(X6,X5,X0)
      | ~ c_lessequals(X1,X5,X0)
      | ~ c_lessequals(X6,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f25,plain,
    c_lessequals(v_k(v_x),v_f(v_x),t_b),
    inference(forward_demodulation,[],[f24,f19]) ).

fof(f19,plain,
    ! [X0] : c_plus(c_0,X0,t_b) = X0,
    inference(resolution,[],[f5,f18]) ).

fof(f18,plain,
    class_OrderedGroup_Ocomm__monoid__add(t_b),
    inference(resolution,[],[f12,f4]) ).

fof(f12,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | class_OrderedGroup_Ocomm__monoid__add(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
      | c_plus(c_0,X1,X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

fof(f24,plain,
    c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b),
    inference(resolution,[],[f23,f1]) ).

fof(f1,axiom,
    c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
      | c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ),
    inference(resolution,[],[f6,f15]) ).

fof(f15,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(resolution,[],[f10,f14]) ).

fof(f10,axiom,
    ! [X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
      | class_OrderedGroup_Opordered__ab__group__add(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

fof(f6,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | c_lessequals(c_plus(X2,X4,X0),X3,X0)
      | ~ c_lessequals(X2,c_minus(X3,X4,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
    inference(superposition,[],[f29,f19]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_plus(X0,X2,t_b),X1,t_b)
      | c_lessequals(X0,c_minus(X1,X2,t_b),t_b) ),
    inference(resolution,[],[f7,f15]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | c_lessequals(X2,c_minus(X3,X4,X0),X0)
      | ~ c_lessequals(c_plus(X2,X4,X0),X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % 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 : 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 15:13:37 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (2126)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50  % (2150)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)
% 0.20/0.50  % (2129)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (2142)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)
% 0.20/0.50  % (2149)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (2150)First to succeed.
% 0.20/0.51  % (2136)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (2142)Also succeeded, but the first one will report.
% 0.20/0.51  % (2128)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (2133)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (2150)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (2150)------------------------------
% 0.20/0.51  % (2150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (2150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (2150)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (2150)Memory used [KB]: 5373
% 0.20/0.51  % (2150)Time elapsed: 0.063 s
% 0.20/0.51  % (2150)Instructions burned: 2 (million)
% 0.20/0.51  % (2150)------------------------------
% 0.20/0.51  % (2150)------------------------------
% 0.20/0.51  % (2123)Success in time 0.16 s
%------------------------------------------------------------------------------