TSTP Solution File: SYN218-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN218-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n029.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 19:37:13 EDT 2022

% Result   : Unsatisfiable 1.39s 0.59s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   69 (  36   ~;  29   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1855,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1117,f1416,f1540,f1578,f1854]) ).

fof(f1854,plain,
    ( ~ spl0_183
    | ~ spl0_254 ),
    inference(avatar_contradiction_clause,[],[f1851]) ).

fof(f1851,plain,
    ( $false
    | ~ spl0_183
    | ~ spl0_254 ),
    inference(resolution,[],[f1838,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f1838,plain,
    ( ! [X0,X1] : ~ m0(X0,X1,c)
    | ~ spl0_183
    | ~ spl0_254 ),
    inference(resolution,[],[f1698,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ l2(c,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1698,plain,
    ( ! [X3,X11,X6] :
        ( l2(X3,X3)
        | ~ m0(X6,X11,X3) )
    | ~ spl0_183
    | ~ spl0_254 ),
    inference(subsumption_resolution,[],[f1415,f1585]) ).

fof(f1585,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_183 ),
    inference(resolution,[],[f1116,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f1116,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1115,plain,
    ( spl0_183
  <=> ! [X9,X4] :
        ( s1(X9)
        | ~ q0(X9,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1415,plain,
    ( ! [X3,X11,X6] :
        ( ~ s1(X11)
        | ~ m0(X6,X11,X3)
        | l2(X3,X3) )
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f1414]) ).

fof(f1414,plain,
    ( spl0_254
  <=> ! [X6,X11,X3] :
        ( l2(X3,X3)
        | ~ s1(X11)
        | ~ m0(X6,X11,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1578,plain,
    ~ spl0_182,
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | ~ spl0_182 ),
    inference(subsumption_resolution,[],[f1576,f1113]) ).

fof(f1113,plain,
    ( ! [X5] : ~ s1(X5)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1112,plain,
    ( spl0_182
  <=> ! [X5] : ~ s1(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1576,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f1540,plain,
    ~ spl0_253,
    inference(avatar_contradiction_clause,[],[f1539]) ).

fof(f1539,plain,
    ( $false
    | ~ spl0_253 ),
    inference(resolution,[],[f1412,f14]) ).

fof(f1412,plain,
    ( ! [X10] : ~ p0(X10,X10)
    | ~ spl0_253 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f1411,plain,
    ( spl0_253
  <=> ! [X10] : ~ p0(X10,X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f1416,plain,
    ( spl0_253
    | spl0_254 ),
    inference(avatar_split_clause,[],[f171,f1414,f1411]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( l2(X3,X3)
      | ~ s1(X11)
      | ~ p0(X10,X10)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).

fof(f1117,plain,
    ( spl0_182
    | spl0_183 ),
    inference(avatar_split_clause,[],[f164,f1115,f1112]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( s1(X9)
      | ~ s1(X5)
      | ~ q0(X9,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN218-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:47:42 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.25/0.54  % (29307)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.25/0.54  % (29307)Instruction limit reached!
% 1.25/0.54  % (29307)------------------------------
% 1.25/0.54  % (29307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.54  % (29306)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)
% 1.25/0.54  % (29323)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)
% 1.25/0.54  % (29300)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)
% 1.39/0.55  % (29312)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.55  % (29315)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)
% 1.39/0.55  % (29320)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)
% 1.39/0.55  % (29307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55  % (29307)Termination reason: Unknown
% 1.39/0.55  % (29307)Termination phase: Saturation
% 1.39/0.55  
% 1.39/0.55  % (29307)Memory used [KB]: 6268
% 1.39/0.55  % (29307)Time elapsed: 0.006 s
% 1.39/0.55  % (29307)Instructions burned: 7 (million)
% 1.39/0.55  % (29307)------------------------------
% 1.39/0.55  % (29307)------------------------------
% 1.39/0.55  % (29322)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)
% 1.39/0.56  % (29301)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)
% 1.39/0.56  % (29317)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.56  % (29314)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)
% 1.39/0.56  % (29328)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.56  % (29313)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.56  % (29311)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)
% 1.39/0.56  % (29303)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)
% 1.39/0.56  % (29309)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)
% 1.39/0.57  % (29305)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)
% 1.39/0.57  % (29310)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.57  % (29325)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.39/0.57  % (29308)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.57  % (29324)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.57  % (29323)First to succeed.
% 1.39/0.58  % (29316)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)
% 1.39/0.58  % (29308)Instruction limit reached!
% 1.39/0.58  % (29308)------------------------------
% 1.39/0.58  % (29308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.58  % (29308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.58  % (29308)Termination reason: Unknown
% 1.39/0.58  % (29308)Termination phase: Unused predicate definition removal
% 1.39/0.58  % (29318)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.58  
% 1.39/0.58  % (29308)Memory used [KB]: 1279
% 1.39/0.58  % (29308)Time elapsed: 0.003 s
% 1.39/0.58  % (29308)Instructions burned: 2 (million)
% 1.39/0.58  % (29308)------------------------------
% 1.39/0.58  % (29308)------------------------------
% 1.39/0.58  % (29329)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)
% 1.39/0.58  % (29319)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)
% 1.39/0.58  % (29302)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)
% 1.39/0.58  % (29326)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)
% 1.39/0.58  % (29301)Also succeeded, but the first one will report.
% 1.39/0.58  % (29327)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)
% 1.39/0.59  % (29323)Refutation found. Thanks to Tanya!
% 1.39/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.39/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.59  % (29323)------------------------------
% 1.39/0.59  % (29323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.59  % (29323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.59  % (29323)Termination reason: Refutation
% 1.39/0.59  
% 1.39/0.59  % (29323)Memory used [KB]: 6780
% 1.39/0.59  % (29323)Time elapsed: 0.124 s
% 1.39/0.59  % (29323)Instructions burned: 27 (million)
% 1.39/0.59  % (29323)------------------------------
% 1.39/0.59  % (29323)------------------------------
% 1.39/0.59  % (29299)Success in time 0.222 s
%------------------------------------------------------------------------------