TSTP Solution File: SWC008-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC008-1 : 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 : n015.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 18:41:10 EDT 2022

% Result   : Unsatisfiable 0.17s 0.60s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  15 unt;   0 def)
%            Number of atoms       :   47 (  17 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   51 (  29   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f880,plain,
    $false,
    inference(subsumption_resolution,[],[f879,f51]) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f879,plain,
    ~ ssList(skaf45(sk2,sk1)),
    inference(subsumption_resolution,[],[f872,f301]) ).

fof(f301,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f227]) ).

fof(f227,plain,
    ssList(sk2),
    inference(forward_demodulation,[],[f189,f190]) ).

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

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f872,plain,
    ( sk2 != app(sk2,nil)
    | ~ ssList(skaf45(sk2,sk1)) ),
    inference(superposition,[],[f305,f858]) ).

fof(f858,plain,
    sk2 = app(sk1,skaf45(sk2,sk1)),
    inference(subsumption_resolution,[],[f857,f186]) ).

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

fof(f857,plain,
    ( ~ ssList(sk1)
    | sk2 = app(sk1,skaf45(sk2,sk1)) ),
    inference(subsumption_resolution,[],[f850,f227]) ).

fof(f850,plain,
    ( sk2 = app(sk1,skaf45(sk2,sk1))
    | ~ ssList(sk2)
    | ~ ssList(sk1) ),
    inference(resolution,[],[f132,f232]) ).

fof(f232,plain,
    frontsegP(sk2,sk1),
    inference(backward_demodulation,[],[f230,f191]) ).

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

fof(f230,plain,
    frontsegP(sk2,sk3),
    inference(forward_demodulation,[],[f192,f190]) ).

fof(f192,axiom,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,skaf45(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f305,plain,
    ! [X0] :
      ( sk2 != app(app(sk1,X0),nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f304,f186]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ ssList(sk1)
      | ~ ssList(X0)
      | sk2 != app(app(sk1,X0),nil) ),
    inference(subsumption_resolution,[],[f303,f8]) ).

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

fof(f303,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(sk1)
      | ~ ssList(X0)
      | sk2 != app(app(sk1,X0),nil) ),
    inference(trivial_inequality_removal,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(X0)
      | sk1 != sk1
      | ~ ssList(sk1)
      | sk2 != app(app(sk1,X0),nil) ),
    inference(superposition,[],[f194,f300]) ).

fof(f300,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(X6,X8)
      | ~ ssList(X6)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk2 != app(app(X6,X7),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWC008-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 18:06:06 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (28891)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)
% 0.17/0.47  % (28899)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)
% 0.17/0.49  % (28885)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)
% 0.17/0.49  % (28908)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)
% 0.17/0.49  % (28900)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)
% 0.17/0.49  % (28907)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)
% 0.17/0.49  % (28886)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)
% 0.17/0.50  TRYING [1]
% 0.17/0.50  % (28896)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)
% 0.17/0.50  % (28892)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51  % (28888)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)
% 0.17/0.52  % (28892)Instruction limit reached!
% 0.17/0.52  % (28892)------------------------------
% 0.17/0.52  % (28892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (28892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (28892)Termination reason: Unknown
% 0.17/0.52  % (28887)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)
% 0.17/0.52  % (28892)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (28892)Memory used [KB]: 5628
% 0.17/0.52  % (28892)Time elapsed: 0.091 s
% 0.17/0.52  % (28892)Instructions burned: 7 (million)
% 0.17/0.52  % (28892)------------------------------
% 0.17/0.52  % (28892)------------------------------
% 0.17/0.52  TRYING [2]
% 0.17/0.52  % (28889)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (28890)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)
% 0.17/0.53  % (28901)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)
% 0.17/0.53  % (28902)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.53  % (28911)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)
% 0.17/0.53  % (28897)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.54  % (28893)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.54  % (28903)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.54  % (28893)Instruction limit reached!
% 0.17/0.54  % (28893)------------------------------
% 0.17/0.54  % (28893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (28893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (28893)Termination reason: Unknown
% 0.17/0.54  % (28893)Termination phase: shuffling
% 0.17/0.54  
% 0.17/0.54  % (28893)Memory used [KB]: 1023
% 0.17/0.54  % (28893)Time elapsed: 0.002 s
% 0.17/0.54  % (28893)Instructions burned: 2 (million)
% 0.17/0.54  % (28893)------------------------------
% 0.17/0.54  % (28893)------------------------------
% 0.17/0.54  % (28898)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.54  % (28886)Refutation not found, incomplete strategy% (28886)------------------------------
% 0.17/0.54  % (28886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (28886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (28886)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.54  
% 0.17/0.54  % (28886)Memory used [KB]: 5884
% 0.17/0.54  % (28886)Time elapsed: 0.143 s
% 0.17/0.54  % (28886)Instructions burned: 12 (million)
% 0.17/0.54  % (28886)------------------------------
% 0.17/0.54  % (28886)------------------------------
% 0.17/0.54  TRYING [1]
% 0.17/0.54  % (28906)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54  % (28912)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)
% 0.17/0.54  TRYING [2]
% 0.17/0.55  % (28913)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.55  % (28895)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.55  % (28894)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)
% 0.17/0.55  % (28909)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.55  % (28891)Instruction limit reached!
% 0.17/0.55  % (28891)------------------------------
% 0.17/0.55  % (28891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (28891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (28891)Termination reason: Unknown
% 0.17/0.55  % (28891)Termination phase: Finite model building constraint generation
% 0.17/0.55  
% 0.17/0.55  % (28891)Memory used [KB]: 7547
% 0.17/0.55  % (28891)Time elapsed: 0.160 s
% 0.17/0.55  % (28891)Instructions burned: 52 (million)
% 0.17/0.55  % (28891)------------------------------
% 0.17/0.55  % (28891)------------------------------
% 0.17/0.56  % (28905)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)
% 0.17/0.56  % (28914)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)
% 0.17/0.56  % (28910)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.56  % (28904)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)
% 0.17/0.58  TRYING [1]
% 0.17/0.59  % (28900)First to succeed.
% 0.17/0.60  TRYING [3]
% 0.17/0.60  % (28899)Instruction limit reached!
% 0.17/0.60  % (28899)------------------------------
% 0.17/0.60  % (28899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.60  % (28899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.60  % (28899)Termination reason: Unknown
% 0.17/0.60  % (28899)Termination phase: Saturation
% 0.17/0.60  
% 0.17/0.60  % (28899)Memory used [KB]: 7036
% 0.17/0.60  % (28899)Time elapsed: 0.071 s
% 0.17/0.60  % (28899)Instructions burned: 68 (million)
% 0.17/0.60  % (28899)------------------------------
% 0.17/0.60  % (28899)------------------------------
% 0.17/0.60  % (28900)Refutation found. Thanks to Tanya!
% 0.17/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.60  % (28900)------------------------------
% 0.17/0.60  % (28900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.60  % (28900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.60  % (28900)Termination reason: Refutation
% 0.17/0.60  
% 0.17/0.60  % (28900)Memory used [KB]: 1791
% 0.17/0.60  % (28900)Time elapsed: 0.148 s
% 0.17/0.60  % (28900)Instructions burned: 47 (million)
% 0.17/0.60  % (28900)------------------------------
% 0.17/0.60  % (28900)------------------------------
% 0.17/0.60  % (28884)Success in time 0.272 s
%------------------------------------------------------------------------------