TSTP Solution File: KRS090+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n019.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 17:30:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (   6 unt;   0 def)
%            Number of atoms       :  118 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  145 (  66   ~;  62   |;  10   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   38 (  36   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(resolution,[],[f79,f61]) ).

fof(f61,plain,
    cC4(i2003_11_14_17_19_57994),
    inference(resolution,[],[f51,f52]) ).

fof(f52,plain,
    cTEST(i2003_11_14_17_19_57994),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cTEST(i2003_11_14_17_19_57994),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f51,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ( cC4(X0)
        & cC5(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC4(X0)
        & cC5(X0) ) ),
    inference(pure_predicate_removal,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( cTEST(X0)
     => ( cC5(X0)
        & cC1(X0)
        & cC4(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f79,plain,
    ~ cC4(i2003_11_14_17_19_57994),
    inference(resolution,[],[f78,f60]) ).

fof(f60,plain,
    cC5(i2003_11_14_17_19_57994),
    inference(resolution,[],[f50,f52]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC5(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC4(X0)
      | ~ cC5(X0)
      | ~ cC5(X0) ),
    inference(resolution,[],[f75,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( cB(sK0(X0))
      | ~ cC4(X0)
      | ~ cC5(X0) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC5(X0)
      | cB(sK0(X0))
      | cB(sK0(X0))
      | ~ cC4(X0) ),
    inference(resolution,[],[f64,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( cA(sK0(X0))
      | ~ cC4(X0)
      | cB(sK0(X0)) ),
    inference(resolution,[],[f53,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( cC2(sK0(X0))
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC2(X1)
          & rR(X0,X1) )
      | ~ cC4(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( cC4(X0)
     => ? [X1] :
          ( cC2(X1)
          & rR(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f53,plain,
    ! [X0] :
      ( ~ cC2(X0)
      | cA(X0)
      | cB(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ( ( cB(X0)
          | cA(X0) )
        & ( ~ cB(X0)
          | cA(X0) ) )
      | ~ cC2(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cC2(X0)
     => ( ( cB(X0)
          | cA(X0) )
        & ( ~ cB(X0)
          | cA(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f64,plain,
    ! [X0] :
      ( ~ cA(sK0(X0))
      | ~ cC4(X0)
      | ~ cC5(X0)
      | cB(sK0(X0)) ),
    inference(resolution,[],[f63,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ cC3(X0)
      | cB(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ cC3(X0)
      | ( ( ~ cA(X0)
          | ~ cB(X0) )
        & ( cB(X0)
          | ~ cA(X0) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( cC3(X0)
     => ( ( ~ cA(X0)
          | ~ cB(X0) )
        & ( cB(X0)
          | ~ cA(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f63,plain,
    ! [X0] :
      ( cC3(sK0(X0))
      | ~ cC4(X0)
      | ~ cC5(X0) ),
    inference(resolution,[],[f55,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( rR(X0,sK0(X0))
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ rR(X0,X1)
      | ~ cC5(X0)
      | cC3(X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | ! [X1] :
          ( ~ rR(X0,X1)
          | cC3(X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cC5(X0)
     => ! [X1] :
          ( rR(X0,X1)
         => cC3(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f75,plain,
    ! [X0] :
      ( ~ cB(sK0(X0))
      | ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC5(X0)
      | ~ cC5(X0)
      | ~ cC4(X0)
      | ~ cB(sK0(X0)) ),
    inference(resolution,[],[f72,f65]) ).

fof(f65,plain,
    ! [X1] :
      ( ~ cA(sK0(X1))
      | ~ cB(sK0(X1))
      | ~ cC4(X1)
      | ~ cC5(X1) ),
    inference(resolution,[],[f63,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ cC3(X0)
      | ~ cB(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f72,plain,
    ! [X0] :
      ( cA(sK0(X0))
      | ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ cC5(X0)
      | ~ cC4(X0)
      | ~ cC4(X0)
      | cA(sK0(X0)) ),
    inference(resolution,[],[f68,f57]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ cC2(sK0(X0))
      | cA(sK0(X0))
      | ~ cC5(X0)
      | ~ cC4(X0) ),
    inference(resolution,[],[f67,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ cB(X0)
      | ~ cC2(X0)
      | cA(X0) ),
    inference(cnf_transformation,[],[f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:36:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (3122)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (3114)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (3103)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (3110)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (3112)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (3110)First to succeed.
% 0.20/0.51  % (3110)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (3110)------------------------------
% 0.20/0.51  % (3110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3110)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (3110)Memory used [KB]: 5500
% 0.20/0.51  % (3110)Time elapsed: 0.111 s
% 0.20/0.51  % (3110)Instructions burned: 2 (million)
% 0.20/0.51  % (3110)------------------------------
% 0.20/0.51  % (3110)------------------------------
% 0.20/0.51  % (3094)Success in time 0.158 s
%------------------------------------------------------------------------------