TSTP Solution File: SYN298-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN298-1 : 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 : n004.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 19:37:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   47 (  13 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  123 (  62   ~;  54   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   8 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1700,plain,
    $false,
    inference(avatar_sat_refutation,[],[f762,f1431,f1563,f1608,f1657,f1661,f1692,f1699]) ).

fof(f1699,plain,
    ~ spl0_284,
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | ~ spl0_284 ),
    inference(resolution,[],[f1656,f19]) ).

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

fof(f1656,plain,
    ( ! [X0,X1] : ~ m0(b,X0,X1)
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1655,plain,
    ( spl0_284
  <=> ! [X0,X1] : ~ m0(b,X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1692,plain,
    ( ~ spl0_94
    | ~ spl0_145
    | ~ spl0_258
    | spl0_283 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1691,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_145
    | ~ spl0_258
    | spl0_283 ),
    inference(subsumption_resolution,[],[f1690,f1653]) ).

fof(f1653,plain,
    ( ~ s2(b)
    | spl0_283 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f1651,plain,
    ( spl0_283
  <=> s2(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f1690,plain,
    ( s2(b)
    | ~ spl0_94
    | ~ spl0_145
    | ~ spl0_258 ),
    inference(resolution,[],[f761,f1624]) ).

fof(f1624,plain,
    ( q2(b,b,b)
    | ~ spl0_145
    | ~ spl0_258 ),
    inference(resolution,[],[f1430,f971]) ).

fof(f971,plain,
    ( k1(b)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl0_145
  <=> k1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1430,plain,
    ( ! [X2] :
        ( ~ k1(X2)
        | q2(X2,X2,X2) )
    | ~ spl0_258 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f1429,plain,
    ( spl0_258
  <=> ! [X2] :
        ( q2(X2,X2,X2)
        | ~ k1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f761,plain,
    ( ! [X5] :
        ( ~ q2(b,X5,b)
        | s2(X5) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_94
  <=> ! [X5] :
        ( s2(X5)
        | ~ q2(b,X5,b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1661,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f1658,f756]) ).

fof(f756,plain,
    ( spl0_93
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1658,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(f1657,plain,
    ( ~ spl0_283
    | spl0_284
    | ~ spl0_145
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f1649,f1429,f970,f1655,f1651]) ).

fof(f1649,plain,
    ( ! [X0,X1] :
        ( ~ m0(b,X0,X1)
        | ~ s2(b) )
    | ~ spl0_145
    | ~ spl0_258 ),
    inference(subsumption_resolution,[],[f1648,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ s3(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1648,plain,
    ( ! [X0,X1] :
        ( s3(b,X1)
        | ~ m0(b,X0,X1)
        | ~ s2(b) )
    | ~ spl0_145
    | ~ spl0_258 ),
    inference(resolution,[],[f1624,f311]) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( ~ q2(X10,X2,X10)
      | ~ m0(X10,X11,X3)
      | s3(X2,X3)
      | ~ s2(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).

fof(f1608,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f1586,f970]) ).

fof(f1586,plain,
    k1(b),
    inference(resolution,[],[f39,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f1563,plain,
    ~ spl0_257,
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | ~ spl0_257 ),
    inference(subsumption_resolution,[],[f1561,f17]) ).

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

fof(f1561,plain,
    ( ~ q0(d,d)
    | ~ spl0_257 ),
    inference(subsumption_resolution,[],[f1560,f1542]) ).

fof(f1542,plain,
    ( ~ q2(d,d,d)
    | ~ spl0_257 ),
    inference(resolution,[],[f1427,f754]) ).

fof(f754,plain,
    n1(d,d,d),
    inference(subsumption_resolution,[],[f83,f17]) ).

fof(f83,axiom,
    ( ~ q0(d,d)
    | n1(d,d,d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_045) ).

fof(f1427,plain,
    ( ! [X3,X10] :
        ( ~ n1(X3,d,X10)
        | ~ q2(X10,X10,X3) )
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1426,plain,
    ( spl0_257
  <=> ! [X3,X10] :
        ( ~ n1(X3,d,X10)
        | ~ q2(X10,X10,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f1560,plain,
    ( ~ q0(d,d)
    | q2(d,d,d) ),
    inference(resolution,[],[f216,f754]) ).

fof(f216,axiom,
    ! [X11,X6,X7] :
      ( ~ n1(X6,X11,X7)
      | q2(X11,X11,X11)
      | ~ q0(X6,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_178) ).

fof(f1431,plain,
    ( spl0_257
    | spl0_258 ),
    inference(avatar_split_clause,[],[f223,f1429,f1426]) ).

fof(f223,axiom,
    ! [X2,X3,X10] :
      ( q2(X2,X2,X2)
      | ~ n1(X3,d,X10)
      | ~ k1(X2)
      | ~ q2(X10,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_185) ).

fof(f762,plain,
    ( ~ spl0_93
    | spl0_94 ),
    inference(avatar_split_clause,[],[f227,f760,f756]) ).

fof(f227,axiom,
    ! [X5] :
      ( s2(X5)
      | ~ s1(b)
      | ~ q2(b,X5,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN298-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n004.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   : Tue Aug 30 21:37:34 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (28932)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (28926)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)
% 0.19/0.51  % (28918)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)
% 0.19/0.51  % (28927)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (28933)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (28917)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)
% 0.19/0.52  % (28916)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)
% 0.19/0.53  % (28935)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)
% 0.19/0.53  % (28919)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (28920)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)
% 0.19/0.53  % (28944)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)
% 0.19/0.54  % (28937)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)
% 0.19/0.54  % (28941)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)
% 0.19/0.54  % (28915)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)
% 0.19/0.54  % (28936)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55  % (28925)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (28930)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)
% 0.19/0.55  % (28928)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (28921)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)
% 0.19/0.55  % (28939)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (28943)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (28934)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)
% 0.19/0.56  % (28940)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56  % (28938)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)
% 0.19/0.56  % (28922)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (28929)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)
% 0.19/0.57  % (28924)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)
% 0.19/0.57  % (28923)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  % (28923)Instruction limit reached!
% 0.19/0.57  % (28923)------------------------------
% 0.19/0.57  % (28923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (28923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (28923)Termination reason: Unknown
% 0.19/0.57  % (28923)Termination phase: Unused predicate definition removal
% 0.19/0.57  
% 0.19/0.57  % (28923)Memory used [KB]: 1279
% 0.19/0.57  % (28923)Time elapsed: 0.003 s
% 0.19/0.57  % (28923)Instructions burned: 2 (million)
% 0.19/0.57  % (28923)------------------------------
% 0.19/0.57  % (28923)------------------------------
% 0.19/0.57  % (28922)Instruction limit reached!
% 0.19/0.57  % (28922)------------------------------
% 0.19/0.57  % (28922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (28922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (28922)Termination reason: Unknown
% 0.19/0.57  % (28922)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (28922)Memory used [KB]: 6268
% 0.19/0.57  % (28922)Time elapsed: 0.010 s
% 0.19/0.57  % (28922)Instructions burned: 7 (million)
% 0.19/0.57  % (28922)------------------------------
% 0.19/0.57  % (28922)------------------------------
% 0.19/0.57  % (28931)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)
% 0.19/0.57  % (28919)First to succeed.
% 0.19/0.57  % (28919)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (28919)------------------------------
% 0.19/0.57  % (28919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (28919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (28919)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (28919)Memory used [KB]: 6780
% 0.19/0.57  % (28919)Time elapsed: 0.152 s
% 0.19/0.57  % (28919)Instructions burned: 21 (million)
% 0.19/0.57  % (28919)------------------------------
% 0.19/0.57  % (28919)------------------------------
% 0.19/0.57  % (28914)Success in time 0.227 s
%------------------------------------------------------------------------------