TSTP Solution File: GEO058-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO058-2 : 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_uns --cores 0 -t %d %s

% Computer : n016.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 16:07:53 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   20 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(trivial_inequality_removal,[],[f44]) ).

fof(f44,plain,
    v != v,
    inference(superposition,[],[f21,f40]) ).

fof(f40,plain,
    v = u,
    inference(resolution,[],[f32,f26]) ).

fof(f26,plain,
    equidistant(v,v,u,v),
    inference(superposition,[],[f5,f22]) ).

fof(f22,plain,
    v = extension(u,v,u,v),
    inference(definition_unfolding,[],[f20,f19]) ).

fof(f19,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).

fof(f20,axiom,
    v = reflection(u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_equals_reflection) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | X1 = X2 ),
    inference(resolution,[],[f27,f1]) ).

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

fof(f27,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X2)
      | ~ equidistant(X0,X1,X3,X4)
      | X3 = X4 ),
    inference(resolution,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).

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

fof(f21,axiom,
    v != u,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_equals_v) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO058-2 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.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 21:26:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.51  % (24960)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (24950)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.51  % (24965)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.51  % (24960)Instruction limit reached!
% 0.21/0.51  % (24960)------------------------------
% 0.21/0.51  % (24960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (24960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (24960)Termination reason: Unknown
% 0.21/0.51  % (24960)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (24960)Memory used [KB]: 5884
% 0.21/0.51  % (24960)Time elapsed: 0.105 s
% 0.21/0.51  % (24960)Instructions burned: 4 (million)
% 0.21/0.51  % (24960)------------------------------
% 0.21/0.51  % (24960)------------------------------
% 0.21/0.51  % (24973)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.52  % (24952)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52  % (24947)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52  % (24952)First to succeed.
% 0.21/0.52  % (24952)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (24952)------------------------------
% 0.21/0.52  % (24952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24952)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (24952)Memory used [KB]: 5884
% 0.21/0.52  % (24952)Time elapsed: 0.117 s
% 0.21/0.52  % (24952)Instructions burned: 2 (million)
% 0.21/0.52  % (24952)------------------------------
% 0.21/0.52  % (24952)------------------------------
% 0.21/0.52  % (24946)Success in time 0.167 s
%------------------------------------------------------------------------------