TSTP Solution File: SWC112-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC112-1 : 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 : n023.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 18:41:48 EDT 2022

% Result   : Unsatisfiable 1.46s 0.56s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   53 (  11 unt;   0 def)
%            Number of atoms       :  131 (  17 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  148 (  70   ~;  72   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   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   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f472,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f273,f274,f282,f326,f407,f467,f471]) ).

fof(f471,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f470,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f188,f252,f425,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f425,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f266,f242]) ).

fof(f242,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f266,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_6
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f252,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f467,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f260,f424,f233]) ).

fof(f233,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f230]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

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

fof(f424,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f246,f242]) ).

fof(f246,plain,
    ( neq(sk4,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f260,plain,
    ( ssList(nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f407,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | spl0_6 ),
    inference(subsumption_resolution,[],[f405,f188]) ).

fof(f405,plain,
    ( ~ ssList(sk3)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f404,f189]) ).

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

fof(f404,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f403,f192]) ).

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

fof(f403,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f402,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f402,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f398,f267]) ).

fof(f267,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f398,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk4)
    | segmentP(sk4,sk3) ),
    inference(superposition,[],[f229,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | segmentP(X3,X1)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f326,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | spl0_3
    | ~ spl0_5
    | spl0_7 ),
    inference(unit_resulting_resolution,[],[f188,f260,f252,f271,f100]) ).

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

fof(f271,plain,
    ( ~ neq(sk3,nil)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl0_7
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f282,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f259]) ).

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

fof(f274,plain,
    ( ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f206,f244,f250]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f201,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(f201,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f273,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f208,f240,f269,f265]) ).

fof(f208,plain,
    ( nil = sk4
    | ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f200,f191,f190,f190,f191]) ).

fof(f200,axiom,
    ( ~ neq(sk1,nil)
    | nil = sk2
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f253,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f198,f240,f250]) ).

fof(f198,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC112-1 : 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
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:36:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (32437)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (32413)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)
% 0.20/0.51  % (32409)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)
% 0.20/0.52  % (32431)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)
% 0.20/0.52  % (32420)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)
% 1.28/0.52  % (32422)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.52  % (32412)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52  % (32423)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)
% 1.28/0.53  % (32409)First to succeed.
% 1.28/0.53  % (32432)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)
% 1.28/0.53  % (32435)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)
% 1.28/0.53  % (32434)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.28/0.54  % (32424)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)
% 1.28/0.54  % (32408)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)
% 1.28/0.54  % (32414)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)
% 1.28/0.54  % (32421)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.54  % (32430)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.54  % (32411)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)
% 1.46/0.54  % (32410)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)
% 1.46/0.54  % (32415)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.54  % (32426)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.55  % (32429)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)
% 1.46/0.55  % (32417)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)
% 1.46/0.55  % (32438)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)
% 1.46/0.55  % (32425)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)
% 1.46/0.55  % (32436)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)
% 1.46/0.55  % (32419)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.55  % (32416)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.55  % (32416)Instruction limit reached!
% 1.46/0.55  % (32416)------------------------------
% 1.46/0.55  % (32416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55  % (32416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55  % (32416)Termination reason: Unknown
% 1.46/0.55  % (32416)Termination phase: Property scanning
% 1.46/0.55  
% 1.46/0.55  % (32416)Memory used [KB]: 1151
% 1.46/0.55  % (32416)Time elapsed: 0.004 s
% 1.46/0.55  % (32416)Instructions burned: 3 (million)
% 1.46/0.55  % (32416)------------------------------
% 1.46/0.55  % (32416)------------------------------
% 1.46/0.55  % (32433)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.46/0.56  % (32428)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)
% 1.46/0.56  % (32427)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.56  % (32409)Refutation found. Thanks to Tanya!
% 1.46/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.46/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.56  % (32409)------------------------------
% 1.46/0.56  % (32409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (32409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (32409)Termination reason: Refutation
% 1.46/0.56  
% 1.46/0.56  % (32409)Memory used [KB]: 5884
% 1.46/0.56  % (32409)Time elapsed: 0.123 s
% 1.46/0.56  % (32409)Instructions burned: 17 (million)
% 1.46/0.56  % (32409)------------------------------
% 1.46/0.56  % (32409)------------------------------
% 1.46/0.56  % (32403)Success in time 0.205 s
%------------------------------------------------------------------------------