TSTP Solution File: GEO022-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO022-2 : 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 : n001.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 16:11:34 EDT 2022

% Result   : Unsatisfiable 0.37s 0.66s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   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    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(resolution,[],[f62,f21]) ).

fof(f21,axiom,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).

fof(f62,plain,
    equidistant(u,v,y,z),
    inference(resolution,[],[f46,f29]) ).

fof(f29,plain,
    ! [X2,X3] :
      ( ~ equidistant(w,x,X2,X3)
      | equidistant(X2,X3,y,z) ),
    inference(resolution,[],[f2,f20]) ).

fof(f20,axiom,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f46,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f30,f34]) ).

fof(f34,plain,
    equidistant(v,u,w,x),
    inference(resolution,[],[f28,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f28,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/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f30,plain,
    ! [X6,X7,X4,X5] :
      ( ~ equidistant(X7,X6,X4,X5)
      | equidistant(X4,X5,X6,X7) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO022-2 : 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
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 21:27:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (638124033)
% 0.12/0.36  ipcrm: permission denied for id (638156805)
% 0.12/0.37  ipcrm: permission denied for id (638222347)
% 0.20/0.39  ipcrm: permission denied for id (638287904)
% 0.20/0.43  ipcrm: permission denied for id (638517308)
% 0.20/0.44  ipcrm: permission denied for id (638615621)
% 0.20/0.50  ipcrm: permission denied for id (638746739)
% 0.20/0.51  ipcrm: permission denied for id (638812283)
% 0.20/0.51  ipcrm: permission denied for id (638845054)
% 0.37/0.64  % (17906)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 (2998ds/37Mi)
% 0.37/0.64  % (17912)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.37/0.64  % (17912)Instruction limit reached!
% 0.37/0.64  % (17912)------------------------------
% 0.37/0.64  % (17912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.64  % (17912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.64  % (17912)Termination reason: Unknown
% 0.37/0.64  % (17912)Termination phase: Blocked clause elimination
% 0.37/0.64  
% 0.37/0.64  % (17912)Memory used [KB]: 895
% 0.37/0.64  % (17912)Time elapsed: 0.002 s
% 0.37/0.64  % (17912)Instructions burned: 2 (million)
% 0.37/0.64  % (17912)------------------------------
% 0.37/0.64  % (17912)------------------------------
% 0.37/0.65  % (17915)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.37/0.65  % (17907)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.37/0.65  % (17923)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.37/0.66  % (17907)First to succeed.
% 0.37/0.66  % (17907)Refutation found. Thanks to Tanya!
% 0.37/0.66  % SZS status Unsatisfiable for theBenchmark
% 0.37/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.66  % (17907)------------------------------
% 0.37/0.66  % (17907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.66  % (17907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.66  % (17907)Termination reason: Refutation
% 0.37/0.66  
% 0.37/0.66  % (17907)Memory used [KB]: 5500
% 0.37/0.66  % (17907)Time elapsed: 0.105 s
% 0.37/0.66  % (17907)Instructions burned: 2 (million)
% 0.37/0.66  % (17907)------------------------------
% 0.37/0.66  % (17907)------------------------------
% 0.37/0.66  % (17730)Success in time 0.308 s
%------------------------------------------------------------------------------