TSTP Solution File: GEO052-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO052-3 : 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 : n012.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 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  14   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f232,plain,
    $false,
    inference(avatar_sat_refutation,[],[f206,f219,f231]) ).

fof(f231,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f229,f83]) ).

fof(f83,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_not_between_v_and_x) ).

fof(f229,plain,
    ( between(v,w,x)
    | ~ spl0_3 ),
    inference(resolution,[],[f201,f47]) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f201,plain,
    ( between(x,w,v)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl0_3
  <=> between(x,w,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f219,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f218,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f217,f84]) ).

fof(f84,axiom,
    ~ between(w,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).

fof(f217,plain,
    ( between(w,v,x)
    | ~ spl0_4 ),
    inference(resolution,[],[f205,f47]) ).

fof(f205,plain,
    ( between(x,v,w)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl0_4
  <=> between(x,v,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f206,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f203,f199]) ).

fof(f194,plain,
    ( between(x,v,w)
    | between(x,w,v) ),
    inference(resolution,[],[f132,f102]) ).

fof(f102,plain,
    between(x,w,u),
    inference(resolution,[],[f47,f82]) ).

fof(f82,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f132,plain,
    ! [X8] :
      ( ~ between(x,X8,u)
      | between(x,v,X8)
      | between(x,X8,v) ),
    inference(resolution,[],[f80,f101]) ).

fof(f101,plain,
    between(x,v,u),
    inference(resolution,[],[f47,f81]) ).

fof(f81,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f80,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | ~ between(X10,X5,X0)
      | between(X10,X5,X3)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 21:01:51 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (32109)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (32093)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (32082)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)
% 0.19/0.51  % (32091)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (32083)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)
% 0.19/0.51  % (32085)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (32106)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (32103)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)
% 0.19/0.52  % (32081)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)
% 0.19/0.52  % (32110)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)
% 0.19/0.52  % (32104)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)
% 0.19/0.52  % (32108)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)
% 0.19/0.52  % (32098)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (32095)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)
% 0.19/0.52  % (32101)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)
% 0.19/0.52  % (32086)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)
% 0.19/0.52  % (32084)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)
% 0.19/0.52  % (32109)First to succeed.
% 0.19/0.52  % (32105)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (32096)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)
% 0.19/0.53  % (32107)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)
% 0.19/0.53  % (32109)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (32109)------------------------------
% 0.19/0.53  % (32109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (32109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (32109)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (32109)Memory used [KB]: 5628
% 0.19/0.53  % (32109)Time elapsed: 0.122 s
% 0.19/0.53  % (32109)Instructions burned: 16 (million)
% 0.19/0.53  % (32109)------------------------------
% 0.19/0.53  % (32109)------------------------------
% 0.19/0.53  % (32080)Success in time 0.191 s
%------------------------------------------------------------------------------