TSTP Solution File: ANA025-2 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ANA025-2 : 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 15:45:00 EDT 2022

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (   8 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  37   ~;  40   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f28,f69]) ).

fof(f69,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f68]) ).

fof(f68,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f67,f6]) ).

fof(f6,axiom,
    ~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f67,plain,
    ( c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
    | spl0_2 ),
    inference(resolution,[],[f54,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ c_less(X0,X1,t_b)
      | c_lessequals(X0,X1,t_b) ),
    inference(resolution,[],[f34,f14]) ).

fof(f14,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(resolution,[],[f11,f12]) ).

fof(f12,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | class_OrderedGroup_Olordered__ab__group__abs(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ c_less(X1,X2,X0)
      | c_lessequals(X1,X2,X0) ),
    inference(resolution,[],[f29,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_less(X3,X2,X0)
      | c_lessequals(X3,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

fof(f29,plain,
    ! [X0] :
      ( class_Orderings_Oorder(X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X6] :
      ( ~ class_LOrder_Ojoin__semilorder(X6)
      | class_Orderings_Oorder(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(f9,axiom,
    ! [X6] :
      ( class_LOrder_Ojoin__semilorder(X6)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

fof(f54,plain,
    ( c_less(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
    | spl0_2 ),
    inference(resolution,[],[f49,f24]) ).

fof(f24,plain,
    ( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_2
  <=> c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)
      | c_less(c_0,X0,t_b) ),
    inference(resolution,[],[f48,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( c_lessequals(X1,X0,t_b)
      | c_less(X0,X1,t_b) ),
    inference(resolution,[],[f2,f13]) ).

fof(f13,plain,
    class_Orderings_Olinorder(t_b),
    inference(resolution,[],[f10,f12]) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | class_Orderings_Olinorder(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

fof(f2,axiom,
    ! [X2,X3,X0] :
      ( ~ class_Orderings_Olinorder(X0)
      | c_less(X2,X3,X0)
      | c_lessequals(X3,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).

fof(f48,plain,
    ! [X4,X5] :
      ( ~ c_lessequals(X4,c_0,t_b)
      | c_lessequals(X4,c_HOL_Oabs(X5,t_b),t_b) ),
    inference(subsumption_resolution,[],[f43,f14]) ).

fof(f43,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
      | c_lessequals(X4,c_HOL_Oabs(X5,t_b),t_b)
      | ~ c_lessequals(X4,c_0,t_b) ),
    inference(resolution,[],[f40,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X2,t_b)
      | ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(X0,X2,t_b) ),
    inference(resolution,[],[f35,f14]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
      | ~ c_lessequals(X0,X1,X2)
      | ~ c_lessequals(X1,X3,X2)
      | c_lessequals(X0,X3,X2) ),
    inference(resolution,[],[f4,f29]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X5] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_lessequals(X3,X2,X0)
      | c_lessequals(X3,X5,X0)
      | ~ c_lessequals(X2,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f28,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f14]) ).

fof(f26,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | spl0_1 ),
    inference(resolution,[],[f20,f1]) ).

fof(f20,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_Orderings_Omax(X2,X0,t_b),X1,t_b)
      | ~ c_lessequals(X0,X1,t_b)
      | ~ c_lessequals(X2,X1,t_b) ),
    inference(resolution,[],[f3,f13]) ).

fof(f3,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_lessequals(X2,X5,X4)
      | ~ c_lessequals(X3,X5,X4)
      | c_lessequals(c_Orderings_Omax(X3,X2,X4),X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n008.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Aug 29 15:16:55 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (9659)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.47  % (9666)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48  % (9679)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)
% 0.17/0.48  % (9656)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48  % (9656)Refutation not found, incomplete strategy% (9656)------------------------------
% 0.17/0.48  % (9656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (9656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (9656)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.48  
% 0.17/0.48  % (9656)Memory used [KB]: 5373
% 0.17/0.48  % (9671)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)
% 0.17/0.48  % (9656)Time elapsed: 0.075 s
% 0.17/0.48  % (9656)Instructions burned: 2 (million)
% 0.17/0.48  % (9656)------------------------------
% 0.17/0.48  % (9656)------------------------------
% 0.17/0.48  % (9679)First to succeed.
% 0.17/0.48  % (9657)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)
% 0.17/0.48  % (9661)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.48  % (9679)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (9679)------------------------------
% 0.17/0.48  % (9679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (9679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (9679)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (9679)Memory used [KB]: 5500
% 0.17/0.48  % (9679)Time elapsed: 0.085 s
% 0.17/0.48  % (9679)Instructions burned: 3 (million)
% 0.17/0.48  % (9679)------------------------------
% 0.17/0.48  % (9679)------------------------------
% 0.17/0.48  % (9651)Success in time 0.156 s
%------------------------------------------------------------------------------