TSTP Solution File: SYN619-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN619-1 : 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 19:27:55 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   6 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   63 (  27   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f228,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f199,f227]) ).

fof(f227,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f226,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f225,f219]) ).

fof(f219,plain,
    ( p17(c21,f15(c24))
    | spl0_2 ),
    inference(resolution,[],[f201,f9]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( ~ p17(f3(X6),X7)
      | p17(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_9) ).

fof(f201,plain,
    ( p17(f3(c21),f15(c24))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f83,f72]) ).

fof(f72,plain,
    ( ~ p18(c24,f6(c19))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_2
  <=> p18(c24,f6(c19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f83,plain,
    ( p17(f3(c21),f15(c24))
    | p18(c24,f6(c19)) ),
    inference(resolution,[],[f27,f7]) ).

fof(f7,axiom,
    p18(c24,f6(c25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_7) ).

fof(f27,axiom,
    ! [X36] :
      ( ~ p18(X36,f6(c25))
      | p18(X36,f6(c19))
      | p17(f3(c21),f15(X36)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).

fof(f225,plain,
    ( ~ p17(c21,f15(c24))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f222,f69]) ).

fof(f69,plain,
    ( p2(f14(c24),c20)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl0_1
  <=> p2(f14(c24),c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f222,plain,
    ( ~ p2(f14(c24),c20)
    | ~ p17(c21,f15(c24))
    | spl0_2 ),
    inference(resolution,[],[f200,f32]) ).

fof(f32,axiom,
    ! [X58,X59,X57] :
      ( ~ p8(c24,f9(f13(X57,X58),X59))
      | ~ p17(c21,X58)
      | ~ p2(X57,c20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_32) ).

fof(f200,plain,
    ( p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24)))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f122,f72]) ).

fof(f122,plain,
    ( p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24)))
    | p18(c24,f6(c19)) ),
    inference(resolution,[],[f33,f7]) ).

fof(f33,axiom,
    ! [X36] :
      ( ~ p18(X36,f6(c25))
      | p18(X36,f6(c19))
      | p8(X36,f9(f13(f14(X36),f15(X36)),f16(X36))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).

fof(f199,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f197,f6]) ).

fof(f6,axiom,
    ! [X5] : p17(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_6) ).

fof(f197,plain,
    ( ~ p17(c21,c21)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f194,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

fof(f194,plain,
    ( ~ p2(c20,c20)
    | ~ p17(c21,c21)
    | ~ spl0_2 ),
    inference(resolution,[],[f149,f32]) ).

fof(f149,plain,
    ( p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f147,f73]) ).

fof(f73,plain,
    ( p18(c24,f6(c19))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f147,plain,
    ( p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
    | ~ p18(c24,f6(c19)) ),
    inference(resolution,[],[f34,f8]) ).

fof(f8,axiom,
    ~ p18(c24,f6(f7(c22,c23))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_8) ).

fof(f34,axiom,
    ! [X60] :
      ( p18(X60,f6(f7(c22,c23)))
      | p8(X60,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
      | ~ p18(X60,f6(c19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).

fof(f74,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f65,f71,f67]) ).

fof(f65,plain,
    ( p18(c24,f6(c19))
    | p2(f14(c24),c20) ),
    inference(resolution,[],[f24,f7]) ).

fof(f24,axiom,
    ! [X36] :
      ( ~ p18(X36,f6(c25))
      | p2(f14(X36),c20)
      | p18(X36,f6(c19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n007.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 21:56:46 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (31837)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)
% 0.20/0.51  % (31847)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (31847)Instruction limit reached!
% 0.20/0.51  % (31847)------------------------------
% 0.20/0.51  % (31847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (31847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (31847)Termination reason: Unknown
% 0.20/0.51  % (31847)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (31847)Memory used [KB]: 5884
% 0.20/0.51  % (31847)Time elapsed: 0.098 s
% 0.20/0.51  % (31847)Instructions burned: 3 (million)
% 0.20/0.51  % (31847)------------------------------
% 0.20/0.51  % (31847)------------------------------
% 0.20/0.51  % (31837)First to succeed.
% 0.20/0.52  % (31839)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (31845)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (31856)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (31837)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (31837)------------------------------
% 0.20/0.53  % (31837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31837)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (31837)Memory used [KB]: 6012
% 0.20/0.53  % (31837)Time elapsed: 0.100 s
% 0.20/0.53  % (31837)Instructions burned: 11 (million)
% 0.20/0.53  % (31837)------------------------------
% 0.20/0.53  % (31837)------------------------------
% 0.20/0.53  % (31833)Success in time 0.168 s
%------------------------------------------------------------------------------