TSTP Solution File: SYN661-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN661-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n007.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 19:28:02 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  28   ~;  23   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,plain,
    $false,
    inference(avatar_sat_refutation,[],[f167,f172,f181,f184]) ).

fof(f184,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f166,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f166,plain,
    ( ~ p25(c32,c36)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl0_5
  <=> p25(c32,c36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f181,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f162,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f162,plain,
    ( ~ p25(c36,c33)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl0_4
  <=> p25(c36,c33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f172,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f170]) ).

fof(f170,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f144,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f144,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_3
  <=> p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f167,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f155,f142,f164,f160]) ).

fof(f155,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ p25(c32,c36)
    | ~ p25(c36,c33) ),
    inference(resolution,[],[f128,f49]) ).

fof(f49,axiom,
    ! [X81] :
      ( p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(X81,c33)
      | ~ p25(c32,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

fof(f128,plain,
    ! [X11] :
      ( ~ p2(f11(f4(c36),c34),X11)
      | ~ p2(f11(f4(c32),c34),X11) ),
    inference(resolution,[],[f102,f40]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f102,plain,
    ! [X6,X4,X5] :
      ( ~ p2(X6,f16(X4,f9(f17(c31))))
      | ~ p2(X4,X5)
      | ~ p2(X6,X5) ),
    inference(resolution,[],[f97,f30]) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( p2(X31,X32)
      | ~ p2(X4,X31)
      | ~ p2(X4,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ p2(f16(X0,f9(f17(c31))),X1)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f75,f6]) ).

fof(f75,plain,
    ! [X2,X3,X4] :
      ( ~ p2(X2,f9(f17(c31)))
      | ~ p2(X3,X4)
      | ~ p2(f16(X3,X2),X4) ),
    inference(resolution,[],[f48,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f16(X1,f9(f17(c31))))
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f30,f19]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f48,axiom,
    ! [X80,X78,X79,X77] :
      ( p2(f16(X77,X78),f16(X79,X80))
      | ~ p2(X78,X80)
      | ~ p2(X77,X79) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_48) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN661-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 21:59:16 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.52  % (3268)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.53  % (3276)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53  % (3268)Instruction limit reached!
% 0.21/0.53  % (3268)------------------------------
% 0.21/0.53  % (3268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (3268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (3268)Termination reason: Unknown
% 0.21/0.53  % (3268)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (3268)Memory used [KB]: 5884
% 0.21/0.53  % (3268)Time elapsed: 0.103 s
% 0.21/0.53  % (3268)Instructions burned: 6 (million)
% 0.21/0.53  % (3268)------------------------------
% 0.21/0.53  % (3268)------------------------------
% 0.21/0.53  % (3282)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.53  % (3284)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.53  % (3270)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.54  % (3274)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.54  % (3259)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54  % (3257)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.54  % (3276)Instruction limit reached!
% 0.21/0.54  % (3276)------------------------------
% 0.21/0.54  % (3276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (3276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (3276)Termination reason: Unknown
% 0.21/0.54  % (3276)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (3276)Memory used [KB]: 1407
% 0.21/0.54  % (3276)Time elapsed: 0.118 s
% 0.21/0.54  % (3276)Instructions burned: 6 (million)
% 0.21/0.54  % (3276)------------------------------
% 0.21/0.54  % (3276)------------------------------
% 0.21/0.54  % (3261)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54  % (3262)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54  % (3264)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54  % (3264)Instruction limit reached!
% 0.21/0.54  % (3264)------------------------------
% 0.21/0.54  % (3264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (3264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (3264)Termination reason: Unknown
% 0.21/0.54  % (3264)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (3264)Memory used [KB]: 5884
% 0.21/0.54  % (3264)Time elapsed: 0.121 s
% 0.21/0.54  % (3264)Instructions burned: 3 (million)
% 0.21/0.54  % (3264)------------------------------
% 0.21/0.54  % (3264)------------------------------
% 0.21/0.54  % (3261)First to succeed.
% 0.21/0.55  % (3256)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.55  % (3265)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (3261)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (3261)------------------------------
% 0.21/0.55  % (3261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (3261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (3261)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (3261)Memory used [KB]: 5884
% 0.21/0.55  % (3261)Time elapsed: 0.128 s
% 0.21/0.55  % (3261)Instructions burned: 8 (million)
% 0.21/0.55  % (3261)------------------------------
% 0.21/0.55  % (3261)------------------------------
% 0.21/0.55  % (3255)Success in time 0.179 s
%------------------------------------------------------------------------------