TSTP Solution File: SWC049-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC049-1 : 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 : 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 18:41:23 EDT 2022

% Result   : Unsatisfiable 1.50s 0.55s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   52 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  32   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f302,plain,
    $false,
    inference(subsumption_resolution,[],[f301,f231]) ).

fof(f231,plain,
    nil != sk4,
    inference(subsumption_resolution,[],[f193,f198]) ).

fof(f198,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f194,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(f194,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f193,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f301,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f300,f8]) ).

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

fof(f300,plain,
    ( ~ ssList(nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f290,f236]) ).

fof(f236,plain,
    rearsegP(sk3,sk3),
    inference(resolution,[],[f59,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f59,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f290,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f249,f234]) ).

fof(f234,plain,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f233,f196]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f233,plain,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk4,sk3)
    | ~ rearsegP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f232,f200]) ).

fof(f232,plain,
    ( ~ ssList(sk3)
    | ~ rearsegP(sk3,sk3)
    | ~ rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(resolution,[],[f197,f195]) ).

fof(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f197,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ rearsegP(sk3,X6)
      | ~ rearsegP(sk4,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f190,f191]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ rearsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f249,plain,
    ! [X0] :
      ( neq(sk4,X0)
      | sk4 = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f100,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC049-1 : 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
% 0.13/0.34  % 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 18:11:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (16123)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)
% 0.20/0.51  % (16109)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)
% 0.20/0.52  % (16113)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  % (16126)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  % (16118)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)
% 0.20/0.52  % (16108)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  % (16131)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.53  % (16106)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)
% 1.33/0.53  % (16110)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.53  % (16112)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)
% 1.33/0.53  % (16130)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)
% 1.33/0.53  % (16107)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53  % (16117)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)
% 1.33/0.54  % (16129)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)
% 1.33/0.54  % (16116)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.54  % (16103)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)
% 1.33/0.54  % (16105)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)
% 1.33/0.54  % (16111)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.54  % (16104)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)
% 1.33/0.54  % (16111)Instruction limit reached!
% 1.33/0.54  % (16111)------------------------------
% 1.33/0.54  % (16111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (16111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (16111)Termination reason: Unknown
% 1.33/0.54  % (16111)Termination phase: Property scanning
% 1.33/0.54  
% 1.33/0.54  % (16111)Memory used [KB]: 1151
% 1.33/0.54  % (16111)Time elapsed: 0.003 s
% 1.33/0.54  % (16111)Instructions burned: 3 (million)
% 1.33/0.54  % (16111)------------------------------
% 1.33/0.54  % (16111)------------------------------
% 1.33/0.54  % (16122)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)
% 1.33/0.54  % (16124)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.54  % (16132)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)
% 1.33/0.54  % (16114)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)
% 1.33/0.54  % (16110)Instruction limit reached!
% 1.33/0.54  % (16110)------------------------------
% 1.33/0.54  % (16110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (16110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (16110)Termination reason: Unknown
% 1.33/0.54  % (16110)Termination phase: Saturation
% 1.33/0.54  
% 1.33/0.54  % (16110)Memory used [KB]: 5628
% 1.33/0.54  % (16110)Time elapsed: 0.084 s
% 1.33/0.54  % (16121)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.54  % (16110)Instructions burned: 7 (million)
% 1.33/0.54  % (16110)------------------------------
% 1.33/0.54  % (16110)------------------------------
% 1.50/0.55  % (16125)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)
% 1.50/0.55  % (16128)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55  % (16115)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.50/0.55  % (16105)First to succeed.
% 1.50/0.55  % (16126)Also succeeded, but the first one will report.
% 1.50/0.55  % (16104)Refutation not found, incomplete strategy% (16104)------------------------------
% 1.50/0.55  % (16104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (16105)Refutation found. Thanks to Tanya!
% 1.50/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.55  % (16105)------------------------------
% 1.50/0.55  % (16105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (16105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (16105)Termination reason: Refutation
% 1.50/0.55  
% 1.50/0.55  % (16105)Memory used [KB]: 1279
% 1.50/0.55  % (16105)Time elapsed: 0.145 s
% 1.50/0.55  % (16105)Instructions burned: 12 (million)
% 1.50/0.55  % (16105)------------------------------
% 1.50/0.55  % (16105)------------------------------
% 1.50/0.55  % (16102)Success in time 0.196 s
%------------------------------------------------------------------------------