TSTP Solution File: GEO067-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO067-2 : 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 : n023.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 16:11:43 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   37 (  13 unt;   0 def)
%            Number of atoms       :   71 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   61 (  27   ~;  29   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(avatar_sat_refutation,[],[f41,f46,f58,f60,f62,f65]) ).

fof(f65,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | ~ spl0_1
    | spl0_5 ),
    inference(resolution,[],[f63,f54]) ).

fof(f54,plain,
    ! [X6,X7] : colinear(X7,X6,X7),
    inference(superposition,[],[f49,f51]) ).

fof(f51,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(f49,plain,
    ! [X2,X3,X0,X1] : colinear(extension(X0,X1,X2,X3),X0,X1),
    inference(resolution,[],[f20,f4]) ).

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(f20,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X1,X2,X0)
      | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity2) ).

fof(f63,plain,
    ( ~ colinear(x,z,x)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f45,f28]) ).

fof(f28,plain,
    ( x = y
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_1
  <=> x = y ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f45,plain,
    ( ~ colinear(x,z,y)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_5
  <=> colinear(x,z,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f62,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f61]) ).

fof(f61,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f55,f40]) ).

fof(f40,plain,
    ( ~ colinear(y,x,x)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_4
  <=> colinear(y,x,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f55,plain,
    ! [X10,X9] : colinear(X9,X10,X10),
    inference(superposition,[],[f48,f51]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] : colinear(X0,X1,extension(X0,X1,X2,X3)),
    inference(resolution,[],[f19,f4]) ).

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

fof(f60,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f59]) ).

fof(f59,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f54,f36]) ).

fof(f36,plain,
    ( ~ colinear(x,y,x)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_3
  <=> colinear(x,y,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f58,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f57]) ).

fof(f57,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f53,f32]) ).

fof(f32,plain,
    ( ~ colinear(x,x,y)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_2
  <=> colinear(x,x,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f53,plain,
    ! [X3,X4] : colinear(X4,X4,X3),
    inference(superposition,[],[f50,f51]) ).

fof(f50,plain,
    ! [X2,X3,X0,X1] : colinear(X0,extension(X1,X0,X2,X3),X1),
    inference(resolution,[],[f21,f4]) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X2,X0,X1)
      | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity3) ).

fof(f46,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f24,f34,f30,f38,f43]) ).

fof(f24,axiom,
    ( ~ colinear(x,y,x)
    | ~ colinear(x,x,y)
    | ~ colinear(y,x,x)
    | ~ colinear(x,z,y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).

fof(f41,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f23,f38,f34,f30,f26]) ).

fof(f23,axiom,
    ( ~ colinear(y,x,x)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y)
    | x = y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 21:27:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (12214)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50  % (12232)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 (2999ds/100Mi)
% 0.21/0.51  % (12224)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (12216)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)
% 0.21/0.51  % (12214)Refutation not found, incomplete strategy% (12214)------------------------------
% 0.21/0.51  % (12214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (12214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (12214)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (12214)Memory used [KB]: 5500
% 0.21/0.51  % (12214)Time elapsed: 0.105 s
% 0.21/0.51  % (12214)Instructions burned: 3 (million)
% 0.21/0.51  % (12214)------------------------------
% 0.21/0.51  % (12214)------------------------------
% 0.21/0.51  % (12216)First to succeed.
% 0.21/0.51  % (12224)Also succeeded, but the first one will report.
% 0.21/0.52  % (12216)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  % (12216)------------------------------
% 0.21/0.52  % (12216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (12216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (12216)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (12216)Memory used [KB]: 5500
% 0.21/0.52  % (12216)Time elapsed: 0.109 s
% 0.21/0.52  % (12216)Instructions burned: 2 (million)
% 0.21/0.52  % (12216)------------------------------
% 0.21/0.52  % (12216)------------------------------
% 0.21/0.52  % (12212)Success in time 0.163 s
%------------------------------------------------------------------------------