TSTP Solution File: SYN229-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN229-1 : 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 19:37:14 EDT 2022

% Result   : Unsatisfiable 1.59s 0.56s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   41 (   9 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   82 (  39   ~;  35   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   9 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1560,plain,
    $false,
    inference(avatar_sat_refutation,[],[f915,f1174,f1286,f1301,f1526,f1537,f1542,f1557,f1559]) ).

fof(f1559,plain,
    ( ~ spl0_120
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_136 ),
    inference(unit_resulting_resolution,[],[f852,f914]) ).

fof(f914,plain,
    ( ! [X5] : ~ s2(X5)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_136
  <=> ! [X5] : ~ s2(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f852,plain,
    ( s2(d)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_120
  <=> s2(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1557,plain,
    ( ~ spl0_135
    | ~ spl0_186 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl0_135
    | ~ spl0_186 ),
    inference(unit_resulting_resolution,[],[f369,f1125,f911]) ).

fof(f911,plain,
    ( ! [X4] :
        ( ~ l1(X4,X4)
        | l3(X4,X4) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_135
  <=> ! [X4] :
        ( l3(X4,X4)
        | ~ l1(X4,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1125,plain,
    ( l1(c,c)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1124,plain,
    ( spl0_186
  <=> l1(c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f369,axiom,
    ! [X0] : ~ l3(c,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1542,plain,
    spl0_186,
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | spl0_186 ),
    inference(unit_resulting_resolution,[],[f26,f1126,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f1126,plain,
    ( ~ l1(c,c)
    | spl0_186 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f1537,plain,
    ( ~ spl0_198
    | spl0_224 ),
    inference(avatar_contradiction_clause,[],[f1533]) ).

fof(f1533,plain,
    ( $false
    | ~ spl0_198
    | spl0_224 ),
    inference(unit_resulting_resolution,[],[f1285,f36,f1173]) ).

fof(f1173,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1172]) ).

fof(f1172,plain,
    ( spl0_198
  <=> ! [X4,X9] :
        ( ~ q0(X9,X4)
        | s1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f1285,plain,
    ( ~ s1(a)
    | spl0_224 ),
    inference(avatar_component_clause,[],[f1283]) ).

fof(f1283,plain,
    ( spl0_224
  <=> s1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f1526,plain,
    ~ spl0_197,
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | ~ spl0_197 ),
    inference(unit_resulting_resolution,[],[f1170,f14,f163]) ).

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

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

fof(f1170,plain,
    ( ! [X5] : ~ s1(X5)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1169,plain,
    ( spl0_197
  <=> ! [X5] : ~ s1(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f1301,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f1,f410]) ).

fof(f410,plain,
    ( spl0_11
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f1286,plain,
    ( ~ spl0_11
    | ~ spl0_224
    | spl0_120 ),
    inference(avatar_split_clause,[],[f228,f850,f1283,f410]) ).

fof(f228,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).

fof(f1174,plain,
    ( spl0_197
    | spl0_198 ),
    inference(avatar_split_clause,[],[f164,f1172,f1169]) ).

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

fof(f915,plain,
    ( spl0_135
    | spl0_136 ),
    inference(avatar_split_clause,[],[f258,f913,f910]) ).

fof(f258,axiom,
    ! [X4,X5] :
      ( ~ s2(X5)
      | l3(X4,X4)
      | ~ l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_220) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN229-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13  % 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 : n029.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 21:48:12 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (31745)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)
% 0.20/0.51  % (31776)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)
% 0.20/0.51  % (31754)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)
% 0.20/0.51  % (31747)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)
% 0.20/0.51  % (31761)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)
% 0.20/0.51  % (31750)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)
% 0.20/0.52  % (31749)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (31755)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (31769)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)
% 0.20/0.52  % (31763)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (31766)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)
% 0.20/0.52  % (31744)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)
% 0.20/0.52  % (31770)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (31758)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (31764)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (31745)First to succeed.
% 0.20/0.53  % (31753)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (31771)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (31748)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  % (31762)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)
% 0.20/0.54  % (31767)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (31757)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (31774)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)
% 0.20/0.54  % (31765)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  % (31753)Instruction limit reached!
% 0.20/0.54  % (31753)------------------------------
% 0.20/0.54  % (31753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31753)Termination reason: Unknown
% 0.20/0.54  % (31753)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (31753)Memory used [KB]: 1407
% 0.20/0.54  % (31753)Time elapsed: 0.003 s
% 0.20/0.54  % (31753)Instructions burned: 3 (million)
% 0.20/0.54  % (31753)------------------------------
% 0.20/0.54  % (31753)------------------------------
% 0.20/0.54  % (31756)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)
% 0.20/0.55  % (31775)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (31752)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.59/0.56  % (31752)Instruction limit reached!
% 1.59/0.56  % (31752)------------------------------
% 1.59/0.56  % (31752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (31774)Also succeeded, but the first one will report.
% 1.59/0.56  % (31745)Refutation found. Thanks to Tanya!
% 1.59/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.59/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56  % (31745)------------------------------
% 1.59/0.56  % (31745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (31745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (31745)Termination reason: Refutation
% 1.59/0.56  
% 1.59/0.56  % (31745)Memory used [KB]: 6652
% 1.59/0.56  % (31745)Time elapsed: 0.120 s
% 1.59/0.56  % (31745)Instructions burned: 18 (million)
% 1.59/0.56  % (31745)------------------------------
% 1.59/0.56  % (31745)------------------------------
% 1.59/0.56  % (31740)Success in time 0.212 s
%------------------------------------------------------------------------------