TSTP Solution File: SWC013-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC013-1 : 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 : n027.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 18:41:12 EDT 2022

% Result   : Unsatisfiable 1.42s 0.54s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   55 (   9 unt;   0 def)
%            Number of atoms       :  161 (  31 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  202 (  96   ~; 101   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f784,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f283,f284,f403,f466,f781]) ).

fof(f781,plain,
    ( spl2_3
    | ~ spl2_5 ),
    inference(avatar_contradiction_clause,[],[f780]) ).

fof(f780,plain,
    ( $false
    | spl2_3
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f774,f773]) ).

fof(f773,plain,
    ( ~ neq(nil,nil)
    | spl2_3 ),
    inference(superposition,[],[f262,f770]) ).

fof(f770,plain,
    ( nil = sk4
    | spl2_3 ),
    inference(subsumption_resolution,[],[f769,f8]) ).

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

fof(f769,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl2_3 ),
    inference(subsumption_resolution,[],[f766,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f766,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl2_3 ),
    inference(resolution,[],[f100,f262]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f262,plain,
    ( ~ neq(nil,sk4)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl2_3
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f774,plain,
    ( neq(nil,nil)
    | spl2_3
    | ~ spl2_5 ),
    inference(superposition,[],[f269,f770]) ).

fof(f269,plain,
    ( neq(sk4,nil)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl2_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f466,plain,
    ( spl2_4
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f465,f252,f264]) ).

fof(f264,plain,
    ( spl2_4
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f252,plain,
    ( spl2_1
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f465,plain,
    ( ssList(sF1)
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f464,f8]) ).

fof(f464,plain,
    ( ~ ssList(nil)
    | ssList(sF1)
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f463,f253]) ).

fof(f253,plain,
    ( ssItem(sF0)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f463,plain,
    ( ~ ssItem(sF0)
    | ~ ssList(nil)
    | ssList(sF1) ),
    inference(superposition,[],[f86,f238]) ).

fof(f238,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f403,plain,
    ( spl2_1
    | ~ spl2_5 ),
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | spl2_1
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f400,f8]) ).

fof(f400,plain,
    ( ~ ssList(nil)
    | spl2_1
    | ~ spl2_5 ),
    inference(resolution,[],[f391,f246]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f391,plain,
    ( neq(nil,nil)
    | spl2_1
    | ~ spl2_5 ),
    inference(superposition,[],[f269,f388]) ).

fof(f388,plain,
    ( nil = sk4
    | spl2_1 ),
    inference(subsumption_resolution,[],[f387,f189]) ).

fof(f387,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f386,f254]) ).

fof(f254,plain,
    ( ~ ssItem(sF0)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f386,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ssItem(sF0) ),
    inference(superposition,[],[f78,f237]) ).

fof(f237,plain,
    hd(sk4) = sF0,
    introduced(function_definition,[]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f284,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f241,f252,f268,f256,f264,f260]) ).

fof(f256,plain,
    ( spl2_2
  <=> sk3 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f241,plain,
    ( ~ ssItem(sF0)
    | ~ neq(sk4,nil)
    | sk3 != sF1
    | ~ ssList(sF1)
    | ~ neq(nil,sk4) ),
    inference(definition_folding,[],[f226,f238,f237,f238,f237,f237]) ).

fof(f226,plain,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | sk3 != cons(hd(sk4),nil) ),
    inference(equality_resolution,[],[f225]) ).

fof(f225,plain,
    ! [X7] :
      ( ~ neq(nil,sk4)
      | ~ ssItem(X7)
      | ~ ssList(cons(X7,nil))
      | ~ neq(sk4,nil)
      | hd(sk4) != X7
      | sk3 != cons(X7,nil) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk4)
      | ~ ssItem(X7)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | cons(X7,nil) != X6
      | hd(sk4) != X7
      | sk3 != X6 ),
    inference(definition_unfolding,[],[f197,f190,f190,f191]) ).

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

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

fof(f197,axiom,
    ! [X6,X7] :
      ( ~ neq(nil,sk2)
      | ~ ssItem(X7)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | cons(X7,nil) != X6
      | hd(sk2) != X7
      | sk1 != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f283,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f247,f268]) ).

fof(f247,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f271,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f239,f268,f264,f260,f256,f252]) ).

fof(f239,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(sF1)
    | ~ neq(nil,sk4)
    | sk3 = sF1
    | ~ ssItem(sF0) ),
    inference(definition_folding,[],[f208,f237,f238,f237,f238,f237]) ).

fof(f208,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | sk3 = cons(hd(sk4),nil)
    | ~ neq(sk4,nil)
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | sk3 = X6
      | ~ neq(sk4,nil)
      | ~ ssItem(hd(sk4))
      | cons(hd(sk4),nil) != X6
      | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ ssList(X6)
      | sk3 = X6
      | ~ neq(sk4,nil)
      | hd(sk4) != X7
      | ~ ssItem(X7)
      | cons(X7,nil) != X6
      | ~ neq(nil,sk4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC013-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:11:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (25176)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)
% 0.19/0.49  % (25169)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)
% 0.19/0.50  % (25168)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)
% 0.19/0.50  % (25168)Refutation not found, incomplete strategy% (25168)------------------------------
% 0.19/0.50  % (25168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (25177)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (25192)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (25175)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (25175)Instruction limit reached!
% 0.19/0.51  % (25175)------------------------------
% 0.19/0.51  % (25175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (25175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25175)Termination reason: Unknown
% 0.19/0.51  % (25175)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (25175)Memory used [KB]: 1151
% 0.19/0.51  % (25175)Time elapsed: 0.003 s
% 0.19/0.51  % (25175)Instructions burned: 4 (million)
% 0.19/0.51  % (25175)------------------------------
% 0.19/0.51  % (25175)------------------------------
% 0.19/0.51  % (25171)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (25168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25168)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (25168)Memory used [KB]: 5884
% 0.19/0.51  % (25168)Time elapsed: 0.098 s
% 0.19/0.51  % (25168)Instructions burned: 10 (million)
% 0.19/0.51  % (25168)------------------------------
% 0.19/0.51  % (25168)------------------------------
% 0.19/0.51  % (25173)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)
% 0.19/0.51  % (25185)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (25170)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  % (25167)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  % (25178)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)
% 0.19/0.52  % (25182)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  % (25189)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)
% 0.19/0.53  % (25196)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)
% 0.19/0.53  % (25194)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)
% 0.19/0.53  % (25193)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  % (25195)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (25172)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  % (25191)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53  % (25190)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)
% 1.42/0.53  % (25186)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)
% 1.42/0.54  % (25176)Instruction limit reached!
% 1.42/0.54  % (25176)------------------------------
% 1.42/0.54  % (25176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (25192)First to succeed.
% 1.42/0.54  % (25176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (25176)Termination reason: Unknown
% 1.42/0.54  % (25176)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (25176)Memory used [KB]: 2174
% 1.42/0.54  % (25176)Time elapsed: 0.142 s
% 1.42/0.54  % (25176)Instructions burned: 51 (million)
% 1.42/0.54  % (25176)------------------------------
% 1.42/0.54  % (25176)------------------------------
% 1.42/0.54  % (25184)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54  % (25183)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)
% 1.42/0.54  % (25188)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54  % (25179)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54  TRYING [1]
% 1.42/0.54  % (25192)Refutation found. Thanks to Tanya!
% 1.42/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54  % (25192)------------------------------
% 1.42/0.54  % (25192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (25192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (25192)Termination reason: Refutation
% 1.42/0.54  
% 1.42/0.54  % (25192)Memory used [KB]: 6012
% 1.42/0.54  % (25192)Time elapsed: 0.136 s
% 1.42/0.54  % (25192)Instructions burned: 27 (million)
% 1.42/0.54  % (25192)------------------------------
% 1.42/0.54  % (25192)------------------------------
% 1.42/0.54  % (25164)Success in time 0.193 s
%------------------------------------------------------------------------------