TSTP Solution File: GEO051-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 16:11:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   47 (   3 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   42 (  19   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f382,f397,f420]) ).

fof(f420,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f419]) ).

fof(f419,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f399,f82]) ).

fof(f82,axiom,
    ~ between(v,x,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).

fof(f399,plain,
    ( between(v,x,w)
    | ~ spl0_11 ),
    inference(resolution,[],[f332,f156]) ).

fof(f156,plain,
    ! [X7] :
      ( ~ between(u,x,X7)
      | between(v,x,X7) ),
    inference(resolution,[],[f54,f79]) ).

fof(f79,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f54,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X10,X5,X0)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).

fof(f332,plain,
    ( between(u,x,w)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_11
  <=> between(u,x,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f397,plain,
    ( spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f339,f330,f334]) ).

fof(f334,plain,
    ( spl0_12
  <=> between(u,w,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f339,plain,
    ( between(u,x,w)
    | between(u,w,x) ),
    inference(resolution,[],[f263,f78]) ).

fof(f78,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f263,plain,
    ! [X6] :
      ( ~ between(u,v,X6)
      | between(u,X6,x)
      | between(u,x,X6) ),
    inference(subsumption_resolution,[],[f254,f80]) ).

fof(f80,axiom,
    u != v,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).

fof(f254,plain,
    ! [X6] :
      ( between(u,x,X6)
      | ~ between(u,v,X6)
      | between(u,X6,x)
      | u = v ),
    inference(resolution,[],[f77,f79]) ).

fof(f77,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | X3 = X10
      | between(X10,X0,X5)
      | ~ between(X10,X3,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b12) ).

fof(f382,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f357,f81]) ).

fof(f81,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_not_between_v_and_x) ).

fof(f357,plain,
    ( between(v,w,x)
    | ~ spl0_12 ),
    inference(resolution,[],[f336,f155]) ).

fof(f155,plain,
    ! [X6] :
      ( ~ between(u,w,X6)
      | between(v,w,X6) ),
    inference(resolution,[],[f54,f78]) ).

fof(f336,plain,
    ( between(u,w,x)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f334]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 21:23:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (31402)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  % (31410)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (31391)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (31392)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)
% 0.20/0.53  % (31390)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)
% 0.20/0.53  % (31394)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)
% 0.20/0.53  % (31393)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  % (31396)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (31398)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (31405)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  % (31411)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)
% 0.20/0.53  % (31416)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (31409)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (31399)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (31404)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)
% 0.20/0.54  % (31389)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)
% 0.20/0.54  % (31406)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (31417)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (31403)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)
% 0.20/0.54  % (31408)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)
% 0.20/0.54  % (31397)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (31407)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (31397)Instruction limit reached!
% 0.20/0.54  % (31397)------------------------------
% 0.20/0.54  % (31397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31397)Termination reason: Unknown
% 0.20/0.54  % (31397)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (31397)Memory used [KB]: 1023
% 0.20/0.54  % (31397)Time elapsed: 0.002 s
% 0.20/0.54  % (31397)Instructions burned: 3 (million)
% 0.20/0.54  % (31397)------------------------------
% 0.20/0.54  % (31397)------------------------------
% 0.20/0.54  % (31414)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (31400)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)
% 0.20/0.54  % (31415)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)
% 0.20/0.54  % (31413)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (31418)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)
% 0.20/0.55  % (31401)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (31396)Instruction limit reached!
% 0.20/0.55  % (31396)------------------------------
% 0.20/0.55  % (31396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31396)Termination reason: Unknown
% 0.20/0.55  % (31396)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (31396)Memory used [KB]: 5500
% 0.20/0.55  % (31396)Time elapsed: 0.102 s
% 0.20/0.55  % (31396)Instructions burned: 8 (million)
% 0.20/0.55  % (31396)------------------------------
% 0.20/0.55  % (31396)------------------------------
% 0.20/0.55  % (31395)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)
% 0.20/0.55  % (31412)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)
% 0.20/0.56  TRYING [3]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [3]
% 0.20/0.58  % (31412)First to succeed.
% 0.20/0.58  % (31412)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (31412)------------------------------
% 0.20/0.58  % (31412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (31412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (31412)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (31412)Memory used [KB]: 5628
% 0.20/0.58  % (31412)Time elapsed: 0.164 s
% 0.20/0.58  % (31412)Instructions burned: 21 (million)
% 0.20/0.58  % (31412)------------------------------
% 0.20/0.58  % (31412)------------------------------
% 0.20/0.58  % (31388)Success in time 0.23 s
%------------------------------------------------------------------------------