TSTP Solution File: SYN603-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN603-1 : 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 : n013.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 19:27:52 EDT 2022

% Result   : Unsatisfiable 1.37s 0.54s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   93 (  54   ~;  37   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(avatar_sat_refutation,[],[f41,f82,f84]) ).

fof(f84,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f5,f37]) ).

fof(f37,plain,
    ( ! [X0] : ~ p2(c22,f9(c20,X0))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_1
  <=> ! [X0] : ~ p2(c22,f9(c20,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f5,axiom,
    p2(c22,f9(c20,c23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f82,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f80,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f80,plain,
    ( ~ p2(f3(f4(c16)),f3(f4(c16)))
    | ~ spl0_2 ),
    inference(resolution,[],[f77,f6]) ).

fof(f6,axiom,
    p2(f3(f4(c16)),c17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f77,plain,
    ( ! [X4] :
        ( ~ p2(X4,c17)
        | ~ p2(X4,f3(f4(c16))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f74,f14]) ).

fof(f14,axiom,
    ! [X0,X14,X15] :
      ( p2(X14,X15)
      | ~ p2(X0,X15)
      | ~ p2(X0,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

fof(f74,plain,
    ( ~ p2(c17,f3(f4(c16)))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f72,f2]) ).

fof(f72,plain,
    ( ~ p2(f5(f4(c16)),f5(f4(c16)))
    | ~ p2(c17,f3(f4(c16)))
    | ~ spl0_2 ),
    inference(resolution,[],[f62,f19]) ).

fof(f19,axiom,
    p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).

fof(f62,plain,
    ( ! [X0,X1] :
        ( ~ p2(f7(f8(c21,c22),c20),f6(X0,X1))
        | ~ p2(f5(f4(c16)),X0)
        | ~ p2(c17,X1) )
    | ~ spl0_2 ),
    inference(resolution,[],[f56,f21]) ).

fof(f21,axiom,
    ! [X31,X29,X32,X30] :
      ( p2(f6(X29,X30),f6(X31,X32))
      | ~ p2(X30,X32)
      | ~ p2(X29,X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).

fof(f56,plain,
    ( ! [X0] :
        ( ~ p2(f6(f5(f4(c16)),c17),X0)
        | ~ p2(f7(f8(c21,c22),c20),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f54,f2]) ).

fof(f54,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f7(f8(c21,c22),c20))
        | ~ p2(X1,X0)
        | ~ p2(f6(f5(f4(c16)),c17),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f47,f14]) ).

fof(f47,plain,
    ( ! [X0] :
        ( ~ p2(X0,f7(f8(c21,c22),c20))
        | ~ p2(f6(f5(f4(c16)),c17),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f43,f2]) ).

fof(f43,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f6(f5(f4(c16)),c17))
        | ~ p2(X0,f7(f8(c21,c22),c20))
        | ~ p2(X1,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f40,f14]) ).

fof(f40,plain,
    ( ! [X1] :
        ( ~ p2(X1,f6(f5(f4(c16)),c17))
        | ~ p2(X1,f7(f8(c21,c22),c20)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_2
  <=> ! [X1] :
        ( ~ p2(X1,f6(f5(f4(c16)),c17))
        | ~ p2(X1,f7(f8(c21,c22),c20)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f41,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f32,f39,f36]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ p2(X1,f6(f5(f4(c16)),c17))
      | ~ p2(c22,f9(c20,X0))
      | ~ p2(X1,f7(f8(c21,c22),c20)) ),
    inference(resolution,[],[f31,f3]) ).

fof(f3,axiom,
    p15(c22,c21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ p15(X0,c21)
      | ~ p2(X0,f9(c20,X1))
      | ~ p2(X2,f6(f5(f4(c16)),c17))
      | ~ p2(X2,f7(f8(c21,X0),c20)) ),
    inference(resolution,[],[f26,f14]) ).

fof(f26,axiom,
    ! [X48,X47] :
      ( ~ p2(f7(f8(c21,X47),c20),f6(f5(f4(c16)),c17))
      | ~ p15(X47,c21)
      | ~ p2(X47,f9(c20,X48)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN603-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % 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 : n013.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 22:06:47 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (32296)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.52  % (32309)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.52  % (32301)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (32300)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)
% 0.21/0.52  % (32296)Instruction limit reached!
% 0.21/0.52  % (32296)------------------------------
% 0.21/0.52  % (32296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (32296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (32296)Termination reason: Unknown
% 0.21/0.52  % (32296)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (32296)Memory used [KB]: 5884
% 0.21/0.52  % (32296)Time elapsed: 0.114 s
% 0.21/0.52  % (32296)Instructions burned: 4 (million)
% 0.21/0.52  % (32296)------------------------------
% 0.21/0.52  % (32296)------------------------------
% 0.21/0.52  % (32311)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (32317)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53  % (32304)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.37/0.53  % (32303)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)
% 1.37/0.53  % (32317)First to succeed.
% 1.37/0.54  % (32317)Refutation found. Thanks to Tanya!
% 1.37/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.54  % (32317)------------------------------
% 1.37/0.54  % (32317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (32317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (32317)Termination reason: Refutation
% 1.37/0.54  
% 1.37/0.54  % (32317)Memory used [KB]: 5884
% 1.37/0.54  % (32317)Time elapsed: 0.125 s
% 1.37/0.54  % (32317)Instructions burned: 6 (million)
% 1.37/0.54  % (32317)------------------------------
% 1.37/0.54  % (32317)------------------------------
% 1.37/0.54  % (32293)Success in time 0.178 s
%------------------------------------------------------------------------------