TSTP Solution File: SWC407-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC407-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n019.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 18:43:41 EDT 2022

% Result   : Unsatisfiable 1.50s 0.62s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   47 (  10 unt;   0 def)
%            Number of atoms       :  109 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  110 (  48   ~;  56   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f389,plain,
    $false,
    inference(avatar_sat_refutation,[],[f260,f263,f269,f303,f344,f363,f388]) ).

fof(f388,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f387,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f386,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f386,plain,
    ( ~ ssList(nil)
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f383,f295]) ).

fof(f295,plain,
    ( ~ memberP(nil,sk5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_8
  <=> memberP(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f383,plain,
    ( memberP(nil,sk5)
    | ~ ssList(nil)
    | ~ spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(resolution,[],[f382,f311]) ).

fof(f311,plain,
    ( memberP(cons(sk6,nil),sk5)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f204,f267]) ).

fof(f267,plain,
    ( sk3 = cons(sk6,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_7
  <=> sk3 = cons(sk6,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f204,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f382,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sk6,X0),sk5)
        | memberP(X0,sk5)
        | ~ ssList(X0) )
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f380,f299]) ).

fof(f299,plain,
    ( sk5 != sk6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl0_9
  <=> sk5 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f380,plain,
    ( ! [X0] :
        ( memberP(X0,sk5)
        | sk5 = sk6
        | ~ memberP(cons(sk6,X0),sk5)
        | ~ ssList(X0) )
    | ~ spl0_6 ),
    inference(resolution,[],[f281,f259]) ).

fof(f259,plain,
    ( ssItem(sk6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_6
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ memberP(cons(X1,X0),sk5)
      | ~ ssList(X0)
      | memberP(X0,sk5)
      | sk5 = X1 ),
    inference(resolution,[],[f161,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | memberP(X1,X2)
      | ~ memberP(cons(X0,X1),X2)
      | ~ ssItem(X0)
      | X0 = X2
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f363,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f347,f242]) ).

fof(f242,plain,
    ( memberP(sk4,sk6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> memberP(sk4,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f347,plain,
    ( ~ memberP(sk4,sk6)
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f202,f300]) ).

fof(f300,plain,
    ( sk5 = sk6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f202,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f194,axiom,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f344,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f342,f192]) ).

fof(f342,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_8 ),
    inference(resolution,[],[f296,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f296,plain,
    ( memberP(nil,sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f303,plain,
    ( spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f302,f253,f294]) ).

fof(f253,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f302,plain,
    ( memberP(nil,sk5)
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f204,f255]) ).

fof(f255,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f269,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f265,f253]) ).

fof(f199,axiom,
    ( sk3 = cons(sk6,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f263,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f200,f240,f253]) ).

fof(f200,axiom,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f260,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f196,f257,f253]) ).

fof(f196,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC407-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:57:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.14/0.56  % (1085)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)
% 1.50/0.57  % (1093)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)
% 1.50/0.57  % (1102)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)
% 1.50/0.57  % (1103)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)
% 1.50/0.58  % (1094)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)
% 1.50/0.58  % (1086)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.58  % (1086)Instruction limit reached!
% 1.50/0.58  % (1086)------------------------------
% 1.50/0.58  % (1086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  % (1086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59  % (1086)Termination reason: Unknown
% 1.50/0.59  % (1086)Termination phase: Saturation
% 1.50/0.59  
% 1.50/0.59  % (1086)Memory used [KB]: 5628
% 1.50/0.59  % (1086)Time elapsed: 0.145 s
% 1.50/0.59  % (1086)Instructions burned: 7 (million)
% 1.50/0.59  % (1086)------------------------------
% 1.50/0.59  % (1086)------------------------------
% 1.50/0.60  % (1082)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)
% 1.50/0.60  % (1101)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.60  % (1100)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)
% 1.50/0.61  % (1098)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)
% 1.50/0.61  % (1081)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)
% 1.50/0.61  % (1092)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.61  TRYING [1]
% 1.50/0.61  % (1111)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.61  % (1084)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)
% 1.50/0.61  % (1087)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.61  % (1103)First to succeed.
% 1.50/0.61  % (1104)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.61  % (1083)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.61  % (1079)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)
% 1.50/0.61  % (1107)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)
% 1.50/0.62  % (1089)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.62  % (1112)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)
% 1.50/0.62  % (1103)Refutation found. Thanks to Tanya!
% 1.50/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.62  % (1103)------------------------------
% 1.50/0.62  % (1103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62  % (1103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62  % (1103)Termination reason: Refutation
% 1.50/0.62  
% 1.50/0.62  % (1103)Memory used [KB]: 5756
% 1.50/0.62  % (1103)Time elapsed: 0.173 s
% 1.50/0.62  % (1103)Instructions burned: 15 (million)
% 1.50/0.62  % (1103)------------------------------
% 1.50/0.62  % (1103)------------------------------
% 1.50/0.62  % (1078)Success in time 0.252 s
%------------------------------------------------------------------------------