TSTP Solution File: SWC046-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC046-1 : 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 : n012.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 18:41:23 EDT 2022

% Result   : Unsatisfiable 1.55s 0.61s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (  18 unt;   3 typ;   0 def)
%            Number of atoms       :   64 (  17 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   64 (  34   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_21,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_22,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_23,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f1092,plain,
    $false,
    inference(subsumption_resolution,[],[f1091,f368]) ).

fof(f368,plain,
    ! [X0] : ssItem(skaf83(X0)),
    inference(literal_reordering,[],[f12]) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

fof(f1091,plain,
    ~ ssItem(skaf83(sk3)),
    inference(resolution,[],[f1080,f697]) ).

fof(f697,plain,
    ! [X6] :
      ( ~ memberP(sk3,X6)
      | ~ ssItem(X6) ),
    inference(subsumption_resolution,[],[f291,f365]) ).

fof(f365,plain,
    ! [X0] :
      ( ~ memberP(sk4,X0)
      | ~ ssItem(X0) ),
    inference(literal_reordering,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk4,X0) ),
    inference(definition_unfolding,[],[f71,f198]) ).

fof(f198,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

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

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

fof(f291,plain,
    ! [X6] :
      ( memberP(sk4,X6)
      | ~ memberP(sk3,X6)
      | ~ ssItem(X6) ),
    inference(literal_reordering,[],[f196]) ).

fof(f196,axiom,
    ! [X6] :
      ( ~ memberP(sk3,X6)
      | memberP(sk4,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f1080,plain,
    memberP(sk3,skaf83(sk3)),
    inference(subsumption_resolution,[],[f1079,f347]) ).

fof(f347,plain,
    ! [X0] : ssList(skaf82(X0)),
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f1079,plain,
    ( ~ ssList(skaf82(sk3))
    | memberP(sk3,skaf83(sk3)) ),
    inference(subsumption_resolution,[],[f1078,f368]) ).

fof(f1078,plain,
    ( memberP(sk3,skaf83(sk3))
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3)) ),
    inference(superposition,[],[f630,f766]) ).

fof(f766,plain,
    sk3 = cons(skaf83(sk3),skaf82(sk3)),
    inference(subsumption_resolution,[],[f764,f339]) ).

fof(f339,plain,
    sk3 != sk4,
    inference(literal_reordering,[],[f219]) ).

fof(f219,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f198,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f764,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | sk3 = sk4 ),
    inference(resolution,[],[f375,f281]) ).

fof(f281,plain,
    ssList(sk3),
    inference(literal_reordering,[],[f199]) ).

fof(f199,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f192]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f375,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | sk4 = X0 ),
    inference(literal_reordering,[],[f255]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | sk4 = X0 ),
    inference(definition_unfolding,[],[f109,f198]) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(skaf83(X0),skaf82(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f630,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f377]) ).

fof(f377,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(literal_reordering,[],[f261]) ).

fof(f261,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | memberP(cons(X1,X2),X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | memberP(cons(X1,X2),X0)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC046-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n012.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 17:58:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (5007)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)
% 0.19/0.53  % (5015)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  % (5023)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  % (5024)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)
% 0.19/0.54  % (5016)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)
% 0.19/0.54  % (5008)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (5004)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)
% 1.43/0.55  % (5008)Instruction limit reached!
% 1.43/0.55  % (5008)------------------------------
% 1.43/0.55  % (5008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (5008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (5008)Termination reason: Unknown
% 1.43/0.55  % (5008)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (5008)Memory used [KB]: 5756
% 1.43/0.55  % (5008)Time elapsed: 0.126 s
% 1.43/0.55  % (5008)Instructions burned: 8 (million)
% 1.43/0.55  % (5008)------------------------------
% 1.43/0.55  % (5008)------------------------------
% 1.43/0.55  % (5029)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.55  % (5018)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.55  % (5017)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)
% 1.43/0.56  % (5030)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)
% 1.43/0.56  % (5006)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)
% 1.43/0.56  % (5009)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.56  % (5003)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)
% 1.43/0.56  % (5009)Instruction limit reached!
% 1.43/0.56  % (5009)------------------------------
% 1.43/0.56  % (5009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56  % (5009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56  % (5009)Termination reason: Unknown
% 1.43/0.56  % (5009)Termination phase: Property scanning
% 1.43/0.56  
% 1.43/0.56  % (5009)Memory used [KB]: 1151
% 1.43/0.56  % (5009)Time elapsed: 0.004 s
% 1.43/0.56  % (5009)Instructions burned: 3 (million)
% 1.43/0.56  % (5009)------------------------------
% 1.43/0.56  % (5009)------------------------------
% 1.43/0.56  % (5005)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.56  % (5025)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.55/0.56  % (5010)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)
% 1.55/0.57  TRYING [1]
% 1.55/0.57  TRYING [2]
% 1.55/0.57  % (5028)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)
% 1.55/0.57  % (5026)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.55/0.57  % (5002)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)
% 1.55/0.57  % (5011)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.55/0.57  % (5027)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)
% 1.55/0.57  % (5013)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.55/0.57  % (5019)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.57  % (5020)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)
% 1.55/0.58  % (5014)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.58  % (5012)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)
% 1.55/0.58  % (5001)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)
% 1.55/0.58  % (5021)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)
% 1.55/0.58  % (5022)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.55/0.59  % (5007)Instruction limit reached!
% 1.55/0.59  % (5007)------------------------------
% 1.55/0.59  % (5007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59  % (5007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59  % (5007)Termination reason: Unknown
% 1.55/0.59  % (5007)Termination phase: Finite model building SAT solving
% 1.55/0.59  
% 1.55/0.59  % (5007)Memory used [KB]: 7164
% 1.55/0.59  % (5007)Time elapsed: 0.158 s
% 1.55/0.59  % (5007)Instructions burned: 53 (million)
% 1.55/0.59  % (5007)------------------------------
% 1.55/0.59  % (5007)------------------------------
% 1.55/0.60  % (5002)Refutation not found, incomplete strategy% (5002)------------------------------
% 1.55/0.60  % (5002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60  % (5002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60  % (5002)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.60  
% 1.55/0.60  % (5002)Memory used [KB]: 5884
% 1.55/0.60  % (5002)Time elapsed: 0.149 s
% 1.55/0.60  % (5002)Instructions burned: 13 (million)
% 1.55/0.60  % (5002)------------------------------
% 1.55/0.60  % (5002)------------------------------
% 1.55/0.61  TRYING [1]
% 1.55/0.61  TRYING [2]
% 1.55/0.61  % (5027)First to succeed.
% 1.55/0.61  % (5015)Also succeeded, but the first one will report.
% 1.55/0.61  % (5027)Refutation found. Thanks to Tanya!
% 1.55/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.61  % (5027)------------------------------
% 1.55/0.61  % (5027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61  % (5027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61  % (5027)Termination reason: Refutation
% 1.55/0.61  
% 1.55/0.61  % (5027)Memory used [KB]: 6524
% 1.55/0.61  % (5027)Time elapsed: 0.017 s
% 1.55/0.61  % (5027)Instructions burned: 30 (million)
% 1.55/0.61  % (5027)------------------------------
% 1.55/0.61  % (5027)------------------------------
% 1.55/0.61  % (5000)Success in time 0.261 s
%------------------------------------------------------------------------------