TSTP Solution File: GEO001-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO001-2 : 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 : n027.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 16:11:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   29 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f26]) ).

fof(f26,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f22]) ).

fof(f22,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f149,plain,
    ~ between(b,c,c),
    inference(subsumption_resolution,[],[f148,f20]) ).

fof(f20,axiom,
    ~ between(c,b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).

fof(f148,plain,
    ( between(c,b,a)
    | ~ between(b,c,c) ),
    inference(subsumption_resolution,[],[f146,f19]) ).

fof(f19,axiom,
    between(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).

fof(f146,plain,
    ( ~ between(a,b,c)
    | ~ between(b,c,c)
    | between(c,b,a) ),
    inference(superposition,[],[f9,f143]) ).

fof(f143,plain,
    b = inner_pasch(a,b,c,c,b),
    inference(resolution,[],[f135,f26]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ between(b,X0,c)
      | b = inner_pasch(a,b,c,X0,b) ),
    inference(resolution,[],[f28,f19]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | inner_pasch(X3,X0,X2,X1,X0) = X0
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % 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 : n027.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 21:10:15 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (24172)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (24182)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  % (24174)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (24174)Instruction limit reached!
% 0.19/0.55  % (24174)------------------------------
% 0.19/0.55  % (24174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (24180)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56  % (24174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (24174)Termination reason: Unknown
% 0.19/0.56  % (24174)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (24174)Memory used [KB]: 5373
% 0.19/0.56  % (24174)Time elapsed: 0.003 s
% 0.19/0.56  % (24174)Instructions burned: 2 (million)
% 0.19/0.56  % (24174)------------------------------
% 0.19/0.56  % (24174)------------------------------
% 0.19/0.56  % (24190)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (24188)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.58  % (24190)First to succeed.
% 0.19/0.58  % (24190)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (24190)------------------------------
% 0.19/0.58  % (24190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (24190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (24190)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (24190)Memory used [KB]: 5628
% 0.19/0.58  % (24190)Time elapsed: 0.163 s
% 0.19/0.58  % (24190)Instructions burned: 13 (million)
% 0.19/0.58  % (24190)------------------------------
% 0.19/0.58  % (24190)------------------------------
% 0.19/0.58  % (24165)Success in time 0.234 s
%------------------------------------------------------------------------------