TSTP Solution File: SYN005-1.010 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 19:36:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  100 (  55   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f2]) ).

fof(f2,axiom,
    p_1(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).

fof(f20,plain,
    ~ p_1(a,a),
    inference(resolution,[],[f19,f3]) ).

fof(f3,axiom,
    p_2(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_2) ).

fof(f19,plain,
    ! [X0] :
      ( ~ p_2(X0,a)
      | ~ p_1(a,X0) ),
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    p_3(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_3) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ p_3(X1,a)
      | ~ p_2(X0,X1)
      | ~ p_1(a,X0) ),
    inference(resolution,[],[f17,f5]) ).

fof(f5,axiom,
    p_4(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ p_4(X2,a)
      | ~ p_2(X0,X1)
      | ~ p_1(a,X0)
      | ~ p_3(X1,X2) ),
    inference(resolution,[],[f16,f6]) ).

fof(f6,axiom,
    p_5(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_5) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p_5(X1,a)
      | ~ p_2(X2,X3)
      | ~ p_4(X0,X1)
      | ~ p_1(a,X2)
      | ~ p_3(X3,X0) ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    p_6(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_6) ).

fof(f15,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p_6(X3,a)
      | ~ p_4(X1,X2)
      | ~ p_2(X4,X0)
      | ~ p_3(X0,X1)
      | ~ p_1(a,X4)
      | ~ p_5(X2,X3) ),
    inference(resolution,[],[f14,f8]) ).

fof(f8,axiom,
    p_7(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_7) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ p_7(X3,a)
      | ~ p_3(X4,X0)
      | ~ p_5(X1,X2)
      | ~ p_1(a,X5)
      | ~ p_4(X0,X1)
      | ~ p_6(X2,X3)
      | ~ p_2(X5,X4) ),
    inference(resolution,[],[f13,f9]) ).

fof(f9,axiom,
    p_8(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_8) ).

fof(f13,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p_8(X6,a)
      | ~ p_4(X0,X1)
      | ~ p_6(X3,X5)
      | ~ p_3(X4,X0)
      | ~ p_5(X1,X3)
      | ~ p_2(X2,X4)
      | ~ p_7(X5,X6)
      | ~ p_1(a,X2) ),
    inference(resolution,[],[f12,f10]) ).

fof(f10,axiom,
    p_9(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_9) ).

fof(f12,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ p_9(X5,a)
      | ~ p_4(X3,X0)
      | ~ p_1(a,X7)
      | ~ p_5(X0,X1)
      | ~ p_2(X7,X2)
      | ~ p_7(X6,X4)
      | ~ p_8(X4,X5)
      | ~ p_6(X1,X6)
      | ~ p_3(X2,X3) ),
    inference(resolution,[],[f1,f11]) ).

fof(f11,axiom,
    p_10(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_10) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ p_10(X9,X0)
      | ~ p_5(X4,X5)
      | ~ p_3(X2,X3)
      | ~ p_8(X7,X8)
      | ~ p_4(X3,X4)
      | ~ p_9(X8,X9)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_1(X0,X1)
      | ~ p_2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjunction) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.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 21:22:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (9053)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48  % (9061)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.48  % (9061)First to succeed.
% 0.19/0.48  % (9061)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (9061)------------------------------
% 0.19/0.48  % (9061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (9061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (9061)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (9061)Memory used [KB]: 5373
% 0.19/0.48  % (9061)Time elapsed: 0.091 s
% 0.19/0.48  % (9061)Instructions burned: 1 (million)
% 0.19/0.48  % (9061)------------------------------
% 0.19/0.48  % (9061)------------------------------
% 0.19/0.48  % (9042)Success in time 0.141 s
%------------------------------------------------------------------------------