TSTP Solution File: GEO015-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO015-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 16:11:32 EDT 2022

% Result   : Unsatisfiable 1.29s 0.52s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f20]) ).

fof(f20,axiom,
    ~ equidistant(w,x,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f49,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f27,f30]) ).

fof(f30,plain,
    equidistant(v,u,w,x),
    inference(resolution,[],[f26,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,v,X0,X1)
      | equidistant(X0,X1,w,x) ),
    inference(resolution,[],[f2,f19]) ).

fof(f19,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f27,plain,
    ! [X2,X3,X4,X5] :
      ( ~ equidistant(X2,X3,X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO015-2 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:04:09 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (29704)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (29679)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)
% 0.20/0.51  % (29701)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  % (29693)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)
% 1.29/0.52  % (29689)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.52  % (29692)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52  TRYING [1]
% 1.29/0.52  TRYING [2]
% 1.29/0.52  % (29701)First to succeed.
% 1.29/0.52  % (29688)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.52  % (29688)Also succeeded, but the first one will report.
% 1.29/0.52  % (29701)Refutation found. Thanks to Tanya!
% 1.29/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.29/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52  % (29701)------------------------------
% 1.29/0.52  % (29701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (29701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (29701)Termination reason: Refutation
% 1.29/0.52  
% 1.29/0.52  % (29701)Memory used [KB]: 895
% 1.29/0.52  % (29701)Time elapsed: 0.068 s
% 1.29/0.52  % (29701)Instructions burned: 4 (million)
% 1.29/0.52  % (29701)------------------------------
% 1.29/0.52  % (29701)------------------------------
% 1.29/0.52  % (29678)Success in time 0.171 s
%------------------------------------------------------------------------------