TSTP Solution File: GEO117-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n029.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 16:11:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   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  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   27 (  27   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_15,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_16,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_17,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f395,plain,
    $false,
    inference(subsumption_resolution,[],[f394,f106]) ).

fof(f106,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(literal_reordering,[],[f99]) ).

fof(f99,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f49]) ).

fof(f49,axiom,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).

fof(f394,plain,
    between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26),
    inference(resolution,[],[f130,f383]) ).

fof(f383,plain,
    between_o(sk25,sk26,sk26,sk26),
    inference(resolution,[],[f349,f174]) ).

fof(f174,plain,
    ordered_by(sk25,sk26,sk26),
    inference(literal_reordering,[],[f97]) ).

fof(f97,axiom,
    ordered_by(sk25,sk26,sk26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_4_133) ).

fof(f349,plain,
    ! [X0] :
      ( ~ ordered_by(sk25,sk26,X0)
      | between_o(sk25,X0,sk26,sk26) ),
    inference(resolution,[],[f145,f174]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X3)
      | between_o(X0,X3,X2,X1) ),
    inference(literal_reordering,[],[f60]) ).

fof(f60,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X3)
      | between_o(X0,X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_6) ).

fof(f130,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_o(X0,X1,X2,X3)
      | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    inference(literal_reordering,[],[f78]) ).

fof(f78,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between_o(X0,X1,X2,X3)
      | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n029.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 21:25:41 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  % (20609)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)
% 0.19/0.47  % (20600)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)
% 0.19/0.49  % (20592)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)
% 0.19/0.50  % (20587)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)
% 0.19/0.50  % (20600)First to succeed.
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (20600)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (20600)------------------------------
% 0.19/0.50  % (20600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (20600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20600)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (20600)Memory used [KB]: 6012
% 0.19/0.50  % (20600)Time elapsed: 0.017 s
% 0.19/0.50  % (20600)Instructions burned: 10 (million)
% 0.19/0.50  % (20600)------------------------------
% 0.19/0.50  % (20600)------------------------------
% 0.19/0.50  % (20585)Success in time 0.153 s
%------------------------------------------------------------------------------