TSTP Solution File: GEO002-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 : n022.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 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   28 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-5 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f268,plain,
    $false,
    inference(resolution,[],[f259,f21]) ).

fof(f21,axiom,
    ~ between(a,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).

fof(f259,plain,
    ! [X0,X1] : between(X0,X0,X1),
    inference(subsumption_resolution,[],[f258,f25]) ).

fof(f25,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f13,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1] :
      ( ~ equidistant(X0,X1,X3,X3)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f14,axiom,
    ! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

fof(f13,axiom,
    ! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ between(X1,X0,X0)
      | between(X0,X0,X1) ),
    inference(duplicate_literal_removal,[],[f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ between(X1,X0,X0)
      | between(X0,X0,X1)
      | ~ between(X1,X0,X0) ),
    inference(superposition,[],[f8,f248]) ).

fof(f248,plain,
    ! [X0,X1] : outer_pasch(X0,X1,X1,X0,X0) = X1,
    inference(resolution,[],[f241,f25]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,X2)
      | outer_pasch(X0,X1,X1,X2,X2) = X1 ),
    inference(resolution,[],[f48,f25]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X2,X3)
      | outer_pasch(X1,X0,X0,X3,X2) = X0
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
      | ~ between(X0,X5,X2)
      | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
      | ~ between(X0,X5,X2)
      | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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
% 0.12/0.34  % Computer : n022.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 20:56:41 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.48  % (4045)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (4053)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49  % (4061)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.50  % (4039)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (4039)Instruction limit reached!
% 0.20/0.50  % (4039)------------------------------
% 0.20/0.50  % (4039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (4047)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (4055)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (4032)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)
% 0.20/0.51  % (4039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (4039)Termination reason: Unknown
% 0.20/0.51  % (4039)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (4039)Memory used [KB]: 5500
% 0.20/0.51  % (4039)Time elapsed: 0.095 s
% 0.20/0.51  % (4039)Instructions burned: 8 (million)
% 0.20/0.51  % (4039)------------------------------
% 0.20/0.51  % (4039)------------------------------
% 0.20/0.51  % (4037)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.52  % (4046)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (4057)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (4047)First to succeed.
% 0.20/0.53  % (4036)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (4048)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)
% 0.20/0.53  % (4047)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (4047)------------------------------
% 0.20/0.53  % (4047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4047)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (4047)Memory used [KB]: 1151
% 0.20/0.53  % (4047)Time elapsed: 0.139 s
% 0.20/0.53  % (4047)Instructions burned: 20 (million)
% 0.20/0.53  % (4047)------------------------------
% 0.20/0.53  % (4047)------------------------------
% 0.20/0.53  % (4031)Success in time 0.175 s
%------------------------------------------------------------------------------