%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ANA044-2 : 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 : n024.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 15:45:06 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   35 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(trivial_inequality_removal,[],[f22]) ).

fof(f22,plain,
    c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
    inference(superposition,[],[f3,f20]) ).

fof(f20,plain,
    ! [X2,X3,X4] : c_HOL_Oabs(c_times(v_l(X2,X3),v_h(X4),t_b),t_b) = c_times(v_l(X2,X3),v_h(X4),t_b),
    inference(resolution,[],[f16,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_0,X0,t_b)
      | c_HOL_Oabs(c_times(X0,v_h(X1),t_b),t_b) = c_times(X0,v_h(X1),t_b) ),
    inference(resolution,[],[f15,f2]) ).

fof(f2,axiom,
    ! [X0] : c_lessequals(c_0,v_h(X0),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_0,X1,t_b)
      | ~ c_lessequals(c_0,X0,t_b)
      | c_times(X0,X1,t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b) ),
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ c_lessequals(c_0,X0,t_b)
      | c_HOL_Oabs(X0,t_b) = X0 ),
    inference(resolution,[],[f9,f4]) ).

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

fof(f9,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | ~ c_lessequals(c_0,X0,X1)
      | c_HOL_Oabs(X0,X1) = X0 ),
    inference(resolution,[],[f5,f8]) ).

fof(f8,axiom,
    ! [X6] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X6)
      | ~ class_Ring__and__Field_Oordered__idom(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f5,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
      | ~ c_lessequals(c_0,X3,X2)
      | c_HOL_Oabs(X3,X2) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(f14,plain,
    ! [X0,X1] :
      ( c_lessequals(c_0,c_times(X0,X1,t_b),t_b)
      | ~ c_lessequals(c_0,X0,t_b)
      | ~ c_lessequals(c_0,X1,t_b) ),
    inference(resolution,[],[f11,f4]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | ~ c_lessequals(c_0,X2,X1)
      | ~ c_lessequals(c_0,X0,X1)
      | c_lessequals(c_0,c_times(X2,X0,X1),X1) ),
    inference(resolution,[],[f6,f7]) ).

fof(f7,axiom,
    ! [X6] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | ~ class_Ring__and__Field_Oordered__idom(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).

fof(f6,axiom,
    ! [X2,X4,X5] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
      | ~ c_lessequals(c_0,X4,X2)
      | c_lessequals(c_0,c_times(X5,X4,X2),X2)
      | ~ c_lessequals(c_0,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

fof(f3,axiom,
    c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA044-2 : 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
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:25:04 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (19554)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50  % (19539)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)
% 0.21/0.50  % (19540)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (19538)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)
% 0.21/0.51  % (19541)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)
% 0.21/0.51  % (19563)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51  % (19538)First to succeed.
% 0.21/0.51  % (19538)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (19538)------------------------------
% 0.21/0.51  % (19538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (19538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (19538)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (19538)Memory used [KB]: 895
% 0.21/0.51  % (19538)Time elapsed: 0.104 s
% 0.21/0.51  % (19538)Instructions burned: 3 (million)
% 0.21/0.51  % (19538)------------------------------
% 0.21/0.51  % (19538)------------------------------
% 0.21/0.51  % (19535)Success in time 0.155 s
%------------------------------------------------------------------------------