TSTP Solution File: SYN656-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN656-1 : 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 : n029.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 19:28:01 EDT 2022

% Result   : Unsatisfiable 1.14s 0.54s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  16   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f451,plain,
    $false,
    inference(resolution,[],[f418,f167]) ).

fof(f167,plain,
    ~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(resolution,[],[f166,f104]) ).

fof(f104,plain,
    ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(resolution,[],[f45,f33]) ).

fof(f33,axiom,
    ! [X48,X49,X47] :
      ( p25(f5(f7(c28,X47),X48),X49)
      | ~ p25(f5(X47,X48),X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).

fof(f45,axiom,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).

fof(f166,plain,
    ! [X8,X9] :
      ( p25(f5(c29,f13(c31,f15(c32,X8))),X9)
      | ~ p3(f13(c31,X8),X9) ),
    inference(resolution,[],[f80,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ~ p4(f5(c29,f13(c31,f15(c32,X0))),X2)
      | p25(X2,X1)
      | ~ p3(f13(c31,X0),X1) ),
    inference(resolution,[],[f35,f31]) ).

fof(f31,axiom,
    ! [X43] : p25(f5(c29,f13(c31,f15(c32,X43))),f13(c31,X43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).

fof(f35,axiom,
    ! [X56,X54,X57,X55] :
      ( ~ p25(X57,X56)
      | ~ p3(X56,X55)
      | p25(X54,X55)
      | ~ p4(X57,X54) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).

fof(f418,plain,
    p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(resolution,[],[f407,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f22,f6]) ).

fof(f6,axiom,
    ! [X5] : p3(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

fof(f22,axiom,
    ! [X26,X5,X25] :
      ( ~ p3(X5,X26)
      | ~ p3(X5,X25)
      | p3(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).

fof(f407,plain,
    p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference(resolution,[],[f233,f45]) ).

fof(f233,plain,
    ! [X0] :
      ( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
      | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
    inference(resolution,[],[f112,f31]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X0)))
      | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
      | p25(f5(f7(c28,c29),X1),f13(c31,c34)) ),
    inference(resolution,[],[f49,f46]) ).

fof(f46,axiom,
    ! [X46,X44,X45,X94] :
      ( ~ p25(f5(f7(c28,X44),X94),X46)
      | ~ p25(f5(X44,X45),X94)
      | p25(f5(f7(c28,X44),X45),X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).

fof(f49,axiom,
    ! [X95] :
      ( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X95))),f13(c31,c34))
      | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X95))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15  % Problem    : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.17/0.38  % Computer : n029.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Tue Aug 30 22:24:12 EDT 2022
% 0.17/0.38  % CPUTime    : 
% 0.24/0.50  % (5126)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.24/0.51  % (5128)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)
% 0.24/0.53  % (5126)First to succeed.
% 1.14/0.54  % (5128)Instruction limit reached!
% 1.14/0.54  % (5128)------------------------------
% 1.14/0.54  % (5128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.54  % (5126)Refutation found. Thanks to Tanya!
% 1.14/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.14/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.14/0.54  % (5126)------------------------------
% 1.14/0.54  % (5126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.54  % (5126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.54  % (5126)Termination reason: Refutation
% 1.14/0.54  
% 1.14/0.54  % (5126)Memory used [KB]: 6268
% 1.14/0.54  % (5126)Time elapsed: 0.079 s
% 1.14/0.54  % (5126)Instructions burned: 24 (million)
% 1.14/0.54  % (5126)------------------------------
% 1.14/0.54  % (5126)------------------------------
% 1.14/0.54  % (5104)Success in time 0.154 s
%------------------------------------------------------------------------------