TSTP Solution File: GEO064-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO064-2 : 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 : 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 16:07:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f197,plain,
    $false,
    inference(subsumption_resolution,[],[f196,f24]) ).

fof(f24,axiom,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_colinear) ).

fof(f196,plain,
    colinear(u,v,w),
    inference(resolution,[],[f189,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).

fof(f189,plain,
    between(u,v,w),
    inference(subsumption_resolution,[],[f188,f34]) ).

fof(f34,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,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(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(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).

fof(f188,plain,
    ( ~ between(v,u,u)
    | between(u,v,w) ),
    inference(subsumption_resolution,[],[f186,f23]) ).

fof(f23,axiom,
    between(w,v,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_w_and_u) ).

fof(f186,plain,
    ( between(u,v,w)
    | ~ between(w,v,u)
    | ~ between(v,u,u) ),
    inference(superposition,[],[f9,f183]) ).

fof(f183,plain,
    v = inner_pasch(w,v,u,u,v),
    inference(resolution,[],[f116,f34]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ between(v,X0,u)
      | v = inner_pasch(w,v,u,X0,v) ),
    inference(resolution,[],[f40,f23]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO064-2 : 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
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:15:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  % (18380)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.47  % (18406)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.47  % (18380)First to succeed.
% 0.19/0.47  % (18389)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (18389)Instruction limit reached!
% 0.19/0.49  % (18389)------------------------------
% 0.19/0.49  % (18389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (18389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (18389)Termination reason: Unknown
% 0.19/0.49  % (18389)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (18389)Memory used [KB]: 5884
% 0.19/0.49  % (18389)Time elapsed: 0.115 s
% 0.19/0.49  % (18389)Instructions burned: 3 (million)
% 0.19/0.49  % (18389)------------------------------
% 0.19/0.49  % (18389)------------------------------
% 0.19/0.49  % (18380)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (18380)------------------------------
% 0.19/0.49  % (18380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (18380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (18380)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (18380)Memory used [KB]: 6012
% 0.19/0.49  % (18380)Time elapsed: 0.095 s
% 0.19/0.49  % (18380)Instructions burned: 14 (million)
% 0.19/0.49  % (18380)------------------------------
% 0.19/0.49  % (18380)------------------------------
% 0.19/0.49  % (18376)Success in time 0.148 s
%------------------------------------------------------------------------------