TSTP Solution File: SYN674-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN674-1 : 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 : n015.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 19:28:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f330,plain,
    $false,
    inference(subsumption_resolution,[],[f327,f92]) ).

fof(f92,plain,
    ~ p2(sF3,sF6),
    inference(superposition,[],[f91,f62]) ).

fof(f62,plain,
    f16(sF3,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f91,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF5)),
    inference(definition_folding,[],[f19,f61,f60]) ).

fof(f60,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f61,plain,
    f9(sF4) = sF5,
    introduced(function_definition,[]) ).

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

fof(f327,plain,
    p2(sF3,sF6),
    inference(resolution,[],[f290,f144]) ).

fof(f144,plain,
    ! [X12] :
      ( ~ p2(sF1,X12)
      | p2(X12,sF6) ),
    inference(resolution,[],[f30,f63]) ).

fof(f63,plain,
    p2(sF1,sF6),
    inference(definition_folding,[],[f39,f62,f61,f60,f59,f58,f57,f56]) ).

fof(f56,plain,
    f4(c32) = sF0,
    introduced(function_definition,[]) ).

fof(f57,plain,
    f11(sF0,c34) = sF1,
    introduced(function_definition,[]) ).

fof(f58,plain,
    f4(c33) = sF2,
    introduced(function_definition,[]) ).

fof(f59,plain,
    f11(sF2,c34) = sF3,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

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

fof(f290,plain,
    p2(sF1,sF3),
    inference(resolution,[],[f221,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f6]) ).

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

fof(f221,plain,
    p2(sF3,sF1),
    inference(forward_demodulation,[],[f220,f59]) ).

fof(f220,plain,
    p2(f11(sF2,c34),sF1),
    inference(subsumption_resolution,[],[f219,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).

fof(f219,plain,
    ( ~ p25(c32,c33)
    | p2(f11(sF2,c34),sF1) ),
    inference(subsumption_resolution,[],[f202,f12]) ).

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

fof(f202,plain,
    ( p2(f11(sF2,c34),sF1)
    | ~ p25(c33,c36)
    | ~ p25(c32,c33) ),
    inference(superposition,[],[f64,f58]) ).

fof(f64,plain,
    ! [X82] :
      ( p2(f11(f4(X82),c34),sF1)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f51,f57,f56]) ).

fof(f51,axiom,
    ! [X82] :
      ( ~ p25(c32,X82)
      | ~ p25(X82,c36)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN674-1 : 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
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:26:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (21796)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)
% 0.19/0.48  % (21773)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49  % (21773)First to succeed.
% 0.19/0.50  % (21773)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (21773)------------------------------
% 0.19/0.50  % (21773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (21773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (21773)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (21773)Memory used [KB]: 6140
% 0.19/0.50  % (21773)Time elapsed: 0.082 s
% 0.19/0.50  % (21773)Instructions burned: 13 (million)
% 0.19/0.50  % (21773)------------------------------
% 0.19/0.50  % (21773)------------------------------
% 0.19/0.50  % (21772)Success in time 0.159 s
%------------------------------------------------------------------------------