TSTP Solution File: GEO017-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO017-2 : 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 : n020.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 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   14 (   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(f52,plain,
    $false,
    inference(resolution,[],[f48,f20]) ).

fof(f20,axiom,
    ~ equidistant(u,v,x,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f48,plain,
    equidistant(u,v,x,w),
    inference(resolution,[],[f40,f28]) ).

fof(f28,plain,
    ! [X2,X3,X4,X5] :
      ( ~ equidistant(X2,X3,X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f1]) ).

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

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/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f40,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f28,f32]) ).

fof(f32,plain,
    equidistant(v,u,w,x),
    inference(resolution,[],[f27,f1]) ).

fof(f27,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO017-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % 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 : n020.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 21:06:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (23439)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)
% 0.19/0.50  % (23440)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (23439)First to succeed.
% 0.19/0.51  % (23444)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (23436)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)
% 0.19/0.51  % (23444)Instruction limit reached!
% 0.19/0.51  % (23444)------------------------------
% 0.19/0.51  % (23444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (23444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23444)Termination reason: Unknown
% 0.19/0.51  % (23444)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (23444)Memory used [KB]: 5373
% 0.19/0.51  % (23444)Time elapsed: 0.105 s
% 0.19/0.51  % (23444)Instructions burned: 2 (million)
% 0.19/0.51  % (23444)------------------------------
% 0.19/0.51  % (23444)------------------------------
% 0.19/0.51  % (23439)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (23439)------------------------------
% 0.19/0.51  % (23439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23439)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23439)Memory used [KB]: 5373
% 0.19/0.51  % (23439)Time elapsed: 0.098 s
% 0.19/0.51  % (23439)Instructions burned: 2 (million)
% 0.19/0.51  % (23439)------------------------------
% 0.19/0.51  % (23439)------------------------------
% 0.19/0.51  % (23435)Success in time 0.16 s
%------------------------------------------------------------------------------