TSTP Solution File: SWV864-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : 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 19:01:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :   46 (  30 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  17   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   24 (  24   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_5,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_6,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_7,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f249,plain,
    $false,
    inference(subsumption_resolution,[],[f233,f193]) ).

fof(f193,plain,
    ! [X1] : v_xa = X1,
    inference(subsumption_resolution,[],[f186,f33]) ).

fof(f33,plain,
    ~ c_Natural_Oevalc(v_c,v_x,v_xa),
    inference(literal_reordering,[],[f27]) ).

fof(f27,axiom,
    ~ c_Natural_Oevalc(v_c,v_x,v_xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f186,plain,
    ! [X1] :
      ( v_xa = X1
      | c_Natural_Oevalc(v_c,v_x,v_xa) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X1] :
      ( v_xa = X1
      | c_Natural_Oevalc(v_c,v_x,v_xa)
      | v_xa = X1 ),
    inference(superposition,[],[f34,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( v_xa = v_xb(X0)
      | v_xa = X0 ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,plain,
    ! [X2,X3] :
      ( v_xb(X3) != X2
      | v_xa = X2
      | v_xa = X3 ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X2,X3] :
      ( v_xa = X2
      | v_xa = X3
      | v_xa = X2
      | v_xb(X3) != X2 ),
    inference(superposition,[],[f30,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( v_xb(X1) = v_xb(X0)
      | v_xa = X0
      | v_xa = X1 ),
    inference(resolution,[],[f125,f34]) ).

fof(f125,plain,
    ! [X2,X3] :
      ( ~ c_Natural_Oevalc(v_c,v_x,X2)
      | v_xa = X3
      | v_xb(X3) = X2 ),
    inference(resolution,[],[f46,f34]) ).

fof(f46,plain,
    ! [X2,X3,X11,X16] :
      ( ~ c_Natural_Oevalc(X11,X3,X2)
      | ~ c_Natural_Oevalc(X11,X3,X16)
      | X2 = X16 ),
    inference(literal_reordering,[],[f15]) ).

fof(f15,axiom,
    ! [X2,X3,X11,X16] :
      ( X2 = X16
      | ~ c_Natural_Oevalc(X11,X3,X2)
      | ~ c_Natural_Oevalc(X11,X3,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).

fof(f30,plain,
    ! [X18] :
      ( v_xb(X18) != X18
      | v_xa = X18 ),
    inference(literal_reordering,[],[f29]) ).

fof(f29,axiom,
    ! [X18] :
      ( v_xb(X18) != X18
      | v_xa = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f34,plain,
    ! [X18] :
      ( c_Natural_Oevalc(v_c,v_x,v_xb(X18))
      | v_xa = X18 ),
    inference(literal_reordering,[],[f28]) ).

fof(f28,axiom,
    ! [X18] :
      ( v_xa = X18
      | c_Natural_Oevalc(v_c,v_x,v_xb(X18)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f233,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_xa,
    inference(backward_demodulation,[],[f105,f193]) ).

fof(f105,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,
    inference(subsumption_resolution,[],[f55,f45]) ).

fof(f45,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(literal_reordering,[],[f26]) ).

fof(f26,axiom,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f55,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
    inference(literal_reordering,[],[f22]) ).

fof(f22,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 20:02:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.49  % (20548)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)
% 0.18/0.50  % (20548)First to succeed.
% 0.18/0.50  % (20540)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (20558)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (20549)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)
% 0.18/0.51  % (20557)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)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.52  % (20548)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (20548)------------------------------
% 0.18/0.52  % (20548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (20548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (20548)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (20548)Memory used [KB]: 5884
% 0.18/0.52  % (20548)Time elapsed: 0.011 s
% 0.18/0.52  % (20548)Instructions burned: 9 (million)
% 0.18/0.52  % (20548)------------------------------
% 0.18/0.52  % (20548)------------------------------
% 0.18/0.52  % (20533)Success in time 0.174 s
%------------------------------------------------------------------------------