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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n028.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 16:07:23 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            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   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93,plain,
    $false,
    inference(subsumption_resolution,[],[f92,f26]) ).

fof(f26,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f23]) ).

fof(f23,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(f92,plain,
    ~ between(b,c,c),
    inference(subsumption_resolution,[],[f91,f20]) ).

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

fof(f91,plain,
    ( between(c,b,a)
    | ~ between(b,c,c) ),
    inference(subsumption_resolution,[],[f89,f19]) ).

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

fof(f89,plain,
    ( ~ between(a,b,c)
    | ~ between(b,c,c)
    | between(c,b,a) ),
    inference(superposition,[],[f9,f73]) ).

fof(f73,plain,
    b = inner_pasch(a,b,c,c,b),
    inference(resolution,[],[f66,f19]) ).

fof(f66,plain,
    ! [X2,X3,X1] :
      ( ~ between(X1,X2,X3)
      | inner_pasch(X1,X2,X3,X3,X2) = X2 ),
    inference(resolution,[],[f22,f26]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | inner_pasch(X0,X1,X2,X3,X1) = X1
      | ~ between(X0,X1,X2) ),
    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(X10,X3,X5)
      | ~ between(X1,X0,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(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % 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 : n028.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 21:01:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (6181)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.49  % (6183)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.50  % (6199)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)
% 0.20/0.50  % (6183)Instruction limit reached!
% 0.20/0.50  % (6183)------------------------------
% 0.20/0.50  % (6183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6183)Termination reason: Unknown
% 0.20/0.50  % (6183)Termination phase: Saturation
% 0.20/0.50  % (6204)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  
% 0.20/0.50  % (6183)Memory used [KB]: 5884
% 0.20/0.50  % (6183)Time elapsed: 0.095 s
% 0.20/0.50  % (6183)Instructions burned: 5 (million)
% 0.20/0.50  % (6183)------------------------------
% 0.20/0.50  % (6183)------------------------------
% 0.20/0.50  % (6192)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.50  % (6197)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (6197)Instruction limit reached!
% 0.20/0.50  % (6197)------------------------------
% 0.20/0.50  % (6197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6197)Termination reason: Unknown
% 0.20/0.50  % (6197)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (6197)Memory used [KB]: 1279
% 0.20/0.50  % (6197)Time elapsed: 0.002 s
% 0.20/0.50  % (6197)Instructions burned: 2 (million)
% 0.20/0.50  % (6197)------------------------------
% 0.20/0.50  % (6197)------------------------------
% 0.20/0.50  % (6188)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (6188)Refutation not found, incomplete strategy% (6188)------------------------------
% 0.20/0.50  % (6188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6188)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (6188)Memory used [KB]: 5756
% 0.20/0.50  % (6188)Time elapsed: 0.002 s
% 0.20/0.50  % (6188)Instructions burned: 1 (million)
% 0.20/0.50  % (6188)------------------------------
% 0.20/0.50  % (6188)------------------------------
% 0.20/0.50  % (6187)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (6205)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)
% 0.20/0.50  % (6196)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (6193)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (6196)Instruction limit reached!
% 0.20/0.50  % (6196)------------------------------
% 0.20/0.50  % (6196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6196)Termination reason: Unknown
% 0.20/0.50  % (6196)Termination phase: Finite model building constraint generation
% 0.20/0.50  
% 0.20/0.50  % (6196)Memory used [KB]: 6012
% 0.20/0.50  % (6196)Time elapsed: 0.064 s
% 0.20/0.50  % (6196)Instructions burned: 6 (million)
% 0.20/0.50  % (6196)------------------------------
% 0.20/0.50  % (6196)------------------------------
% 0.20/0.51  % (6192)First to succeed.
% 0.20/0.51  % (6191)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (6189)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)
% 0.20/0.51  % (6192)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (6192)------------------------------
% 0.20/0.51  % (6192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (6192)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (6192)Memory used [KB]: 5884
% 0.20/0.51  % (6192)Time elapsed: 0.119 s
% 0.20/0.51  % (6192)Instructions burned: 8 (million)
% 0.20/0.51  % (6192)------------------------------
% 0.20/0.51  % (6192)------------------------------
% 0.20/0.51  % (6177)Success in time 0.16 s
%------------------------------------------------------------------------------