TSTP Solution File: SYN577-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN577-1 : 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 : n002.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 19:27:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  145 (  82   ~;  61   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f56,f79]) ).

fof(f79,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f73,f8]) ).

fof(f8,axiom,
    p2(f4(c16,c14),c18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

fof(f73,plain,
    ( ~ p2(f4(c16,c14),c18)
    | ~ spl0_1 ),
    inference(resolution,[],[f70,f12]) ).

fof(f12,axiom,
    p2(f5(f6(c9),c20),c18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f70,plain,
    ( ! [X0] :
        ( ~ p2(f5(f6(c9),c20),X0)
        | ~ p2(f4(c16,c14),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f67,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f67,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f4(c16,c14))
        | ~ p2(f5(f6(c9),c20),X0)
        | ~ p2(X1,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f63,f14]) ).

fof(f14,axiom,
    ! [X3,X0,X4] :
      ( p2(X3,X4)
      | ~ p2(X0,X4)
      | ~ p2(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

fof(f63,plain,
    ( ! [X0] :
        ( ~ p2(X0,f4(c16,c14))
        | ~ p2(f5(f6(c9),c20),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f5(f6(c9),c20))
        | ~ p2(X1,X0)
        | ~ p2(X0,f4(c16,c14)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f57,f14]) ).

fof(f57,plain,
    ( ! [X0] :
        ( ~ p2(X0,f5(f6(c9),c20))
        | ~ p2(X0,f4(c16,c14)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f29,f1]) ).

fof(f29,plain,
    ( ! [X3,X0] :
        ( ~ p2(c16,X3)
        | ~ p2(X0,f4(X3,c14))
        | ~ p2(X0,f5(f6(c9),c20)) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_1
  <=> ! [X0,X3] :
        ( ~ p2(X0,f5(f6(c9),c20))
        | ~ p2(c16,X3)
        | ~ p2(X0,f4(X3,c14)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f9]) ).

fof(f9,axiom,
    p2(f4(c15,c14),c17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).

fof(f50,plain,
    ( ~ p2(f4(c15,c14),c17)
    | ~ spl0_2 ),
    inference(resolution,[],[f47,f11]) ).

fof(f11,axiom,
    p2(f5(f6(c9),c19),c17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f47,plain,
    ( ! [X0] :
        ( ~ p2(f5(f6(c9),c19),X0)
        | ~ p2(f4(c15,c14),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f44,f1]) ).

fof(f44,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f4(c15,c14))
        | ~ p2(X1,X0)
        | ~ p2(f5(f6(c9),c19),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f40,f14]) ).

fof(f40,plain,
    ( ! [X0] :
        ( ~ p2(X0,f4(c15,c14))
        | ~ p2(f5(f6(c9),c19),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f37,f1]) ).

fof(f37,plain,
    ( ! [X0,X1] :
        ( ~ p2(X1,f5(f6(c9),c19))
        | ~ p2(X0,f4(c15,c14))
        | ~ p2(X1,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f34,f14]) ).

fof(f34,plain,
    ( ! [X0] :
        ( ~ p2(X0,f5(f6(c9),c19))
        | ~ p2(X0,f4(c15,c14)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f32,f1]) ).

fof(f32,plain,
    ( ! [X2,X1] :
        ( ~ p2(c15,X2)
        | ~ p2(X1,f5(f6(c9),c19))
        | ~ p2(X1,f4(X2,c14)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_2
  <=> ! [X2,X1] :
        ( ~ p2(X1,f5(f6(c9),c19))
        | ~ p2(X1,f4(X2,c14))
        | ~ p2(c15,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f33,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f25,f31,f28]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(X1,f5(f6(c9),c19))
      | ~ p2(X0,f5(f6(c9),c20))
      | ~ p2(c15,X2)
      | ~ p2(X1,f4(X2,c14))
      | ~ p2(X0,f4(X3,c14))
      | ~ p2(c16,X3) ),
    inference(resolution,[],[f24,f5]) ).

fof(f5,axiom,
    p7(c9,c10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_5) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p7(X1,c10)
      | ~ p2(X0,f5(f6(X1),c20))
      | ~ p2(X4,f4(X3,c14))
      | ~ p2(c15,X3)
      | ~ p2(X0,f4(X2,c14))
      | ~ p2(c16,X2)
      | ~ p2(X4,f5(f6(X1),c19)) ),
    inference(resolution,[],[f23,f14]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f4(X0,c14),f5(f6(X1),c19))
      | ~ p2(X3,f5(f6(X1),c20))
      | ~ p7(X1,c10)
      | ~ p2(X3,f4(X2,c14))
      | ~ p2(c15,X0)
      | ~ p2(c16,X2) ),
    inference(resolution,[],[f20,f14]) ).

fof(f20,axiom,
    ! [X26,X27,X25] :
      ( ~ p2(f4(X27,c14),f5(f6(X25),c20))
      | ~ p2(c15,X26)
      | ~ p2(f4(X26,c14),f5(f6(X25),c19))
      | ~ p2(c16,X27)
      | ~ p7(X25,c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:20:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (3209)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)
% 0.20/0.49  % (3201)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)
% 0.20/0.50  % (3209)Instruction limit reached!
% 0.20/0.50  % (3209)------------------------------
% 0.20/0.50  % (3209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (3209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (3209)Termination reason: Unknown
% 0.20/0.50  % (3209)Termination phase: Finite model building preprocessing
% 0.20/0.50  
% 0.20/0.50  % (3209)Memory used [KB]: 6012
% 0.20/0.50  % (3209)Time elapsed: 0.007 s
% 0.20/0.50  % (3209)Instructions burned: 6 (million)
% 0.20/0.50  % (3209)------------------------------
% 0.20/0.50  % (3209)------------------------------
% 0.20/0.51  % (3203)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)
% 0.20/0.52  % (3195)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)
% 0.20/0.53  % (3198)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (3201)Refutation not found, non-redundant clauses discarded% (3201)------------------------------
% 0.20/0.53  % (3201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3201)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.53  
% 0.20/0.53  % (3201)Memory used [KB]: 6524
% 0.20/0.53  % (3201)Time elapsed: 0.106 s
% 0.20/0.53  % (3201)Instructions burned: 50 (million)
% 0.20/0.53  % (3201)------------------------------
% 0.20/0.53  % (3201)------------------------------
% 0.20/0.53  % (3222)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)
% 0.20/0.53  % (3197)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)
% 0.20/0.53  % (3199)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (3194)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (3208)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)
% 0.20/0.53  % (3205)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)
% 0.20/0.53  % (3199)First to succeed.
% 0.20/0.53  % (3221)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.54  % (3199)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (3199)------------------------------
% 0.20/0.54  % (3199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3199)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (3199)Memory used [KB]: 5884
% 0.20/0.54  % (3199)Time elapsed: 0.129 s
% 0.20/0.54  % (3199)Instructions burned: 4 (million)
% 0.20/0.54  % (3199)------------------------------
% 0.20/0.54  % (3199)------------------------------
% 0.20/0.54  % (3193)Success in time 0.182 s
%------------------------------------------------------------------------------