TSTP Solution File: SWC007-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC007-1 : 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 : n024.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 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   42 (  23 equ)
%            Maximal formula atoms :    5 (   2 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  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f413,plain,
    $false,
    inference(subsumption_resolution,[],[f412,f282]) ).

fof(f282,plain,
    sk4 = app(sk4,sk3),
    inference(resolution,[],[f227,f189]) ).

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

fof(f227,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,sk3) = X0 ),
    inference(definition_unfolding,[],[f73,f190]) ).

fof(f190,axiom,
    nil = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

fof(f412,plain,
    sk4 != app(sk4,sk3),
    inference(subsumption_resolution,[],[f409,f279]) ).

fof(f279,plain,
    sk3 = app(sk3,sk3),
    inference(resolution,[],[f212,f188]) ).

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

fof(f212,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sk3,X0) = X0 ),
    inference(definition_unfolding,[],[f74,f190]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f409,plain,
    ( sk3 != app(sk3,sk3)
    | sk4 != app(sk4,sk3) ),
    inference(resolution,[],[f367,f188]) ).

fof(f367,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | sk4 != app(sk4,X1)
      | sk3 != app(sk3,X1) ),
    inference(subsumption_resolution,[],[f366,f189]) ).

fof(f366,plain,
    ! [X1] :
      ( sk4 != app(sk4,X1)
      | ~ ssList(sk4)
      | sk3 != app(sk3,X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f358,f188]) ).

fof(f358,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(sk3)
      | sk3 != app(sk3,X1)
      | sk4 != app(sk4,X1)
      | ~ ssList(sk4) ),
    inference(superposition,[],[f230,f280]) ).

fof(f280,plain,
    sk4 = app(sk3,sk4),
    inference(resolution,[],[f212,f189]) ).

fof(f230,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X6,X7),X8)
      | sk3 != app(X6,X8)
      | ~ ssList(X6)
      | ~ ssList(X8)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f193,f192,f191]) ).

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

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

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X7)
      | ~ ssList(X8)
      | sk1 != app(X6,X8)
      | sk2 != app(app(X6,X7),X8)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC007-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 17:56:04 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (22870)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)
% 0.21/0.48  % (22882)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50  TRYING [1]
% 0.21/0.51  TRYING [2]
% 0.21/0.54  % (22870)Instruction limit reached!
% 0.21/0.54  % (22870)------------------------------
% 0.21/0.54  % (22870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (22870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (22870)Termination reason: Unknown
% 0.21/0.54  % (22870)Termination phase: Finite model building SAT solving
% 0.21/0.54  
% 0.21/0.54  % (22870)Memory used [KB]: 7164
% 0.21/0.54  % (22870)Time elapsed: 0.098 s
% 0.21/0.54  % (22870)Instructions burned: 53 (million)
% 0.21/0.54  % (22870)------------------------------
% 0.21/0.54  % (22870)------------------------------
% 0.21/0.54  % (22864)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)
% 0.21/0.54  % (22869)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)
% 0.21/0.54  % (22866)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)
% 0.21/0.54  % (22865)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)
% 0.21/0.55  % (22868)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (22867)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)
% 0.21/0.55  % (22878)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)
% 0.21/0.55  % (22883)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)
% 0.21/0.55  % (22874)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56  % (22884)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)
% 0.21/0.56  % (22885)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.56  % (22871)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (22875)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)
% 0.21/0.56  % (22872)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (22880)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)
% 0.21/0.56  % (22881)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56  % (22886)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)
% 0.21/0.56  % (22891)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)
% 0.21/0.56  % (22887)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)
% 0.21/0.56  % (22890)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)
% 0.21/0.56  % (22876)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56  % (22877)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (22873)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)
% 0.21/0.56  % (22888)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (22892)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.57  % (22865)Refutation not found, incomplete strategy% (22865)------------------------------
% 0.21/0.57  % (22865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (22879)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)
% 0.21/0.57  % (22889)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57  % (22893)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)
% 0.21/0.57  TRYING [1]
% 0.21/0.58  % (22871)Instruction limit reached!
% 0.21/0.58  % (22871)------------------------------
% 0.21/0.58  % (22871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (22871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (22871)Termination reason: Unknown
% 0.21/0.58  % (22871)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (22871)Memory used [KB]: 5756
% 0.21/0.58  % (22871)Time elapsed: 0.109 s
% 0.21/0.58  % (22871)Instructions burned: 8 (million)
% 0.21/0.58  % (22871)------------------------------
% 0.21/0.58  % (22871)------------------------------
% 0.21/0.58  % (22886)First to succeed.
% 0.21/0.58  % (22872)Instruction limit reached!
% 0.21/0.58  % (22872)------------------------------
% 0.21/0.58  % (22872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (22872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (22872)Termination reason: Unknown
% 0.21/0.58  % (22872)Termination phase: Function definition elimination
% 0.21/0.58  
% 0.21/0.58  % (22872)Memory used [KB]: 1023
% 0.21/0.58  % (22872)Time elapsed: 0.002 s
% 0.21/0.58  % (22872)Instructions burned: 2 (million)
% 0.21/0.58  % (22872)------------------------------
% 0.21/0.58  % (22872)------------------------------
% 0.21/0.58  % (22886)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (22886)------------------------------
% 0.21/0.58  % (22886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (22886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (22886)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (22886)Memory used [KB]: 1279
% 0.21/0.58  % (22886)Time elapsed: 0.116 s
% 0.21/0.58  % (22886)Instructions burned: 15 (million)
% 0.21/0.58  % (22886)------------------------------
% 0.21/0.58  % (22886)------------------------------
% 0.21/0.58  % (22863)Success in time 0.216 s
%------------------------------------------------------------------------------