TSTP Solution File: SWW469+5 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 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 : n017.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 19:06:52 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   32 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  17   ~;   7   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (  19   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(unit_resulting_resolution,[],[f82,f86,f79]) ).

fof(f79,plain,
    ( ti(state,sK0) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( ti(state,sK0) != ti(state,sK1)
      | ~ hBOOL(hoare_1883395792gleton) )
    & ( hBOOL(hoare_1883395792gleton)
      | ! [X2,X3] : ti(state,X3) = ti(state,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f71,f72]) ).

fof(f72,plain,
    ( ? [X0,X1] : ti(state,X0) != ti(state,X1)
   => ti(state,sK0) != ti(state,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ( ( ? [X0,X1] : ti(state,X0) != ti(state,X1)
      | ~ hBOOL(hoare_1883395792gleton) )
    & ( hBOOL(hoare_1883395792gleton)
      | ! [X2,X3] : ti(state,X3) = ti(state,X2) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ( ( ? [X1,X0] : ti(state,X0) != ti(state,X1)
      | ~ hBOOL(hoare_1883395792gleton) )
    & ( hBOOL(hoare_1883395792gleton)
      | ! [X1,X0] : ti(state,X0) = ti(state,X1) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ? [X1,X0] : ti(state,X0) != ti(state,X1)
  <=> hBOOL(hoare_1883395792gleton) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( ? [X5,X4] : ti(state,X4) != ti(state,X5)
  <=> hBOOL(hoare_1883395792gleton) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

fof(f86,plain,
    ! [X0,X1] : ti(state,X0) = ti(state,X1),
    inference(superposition,[],[f81,f81]) ).

fof(f81,plain,
    ! [X1] : ti(state,sK2) = ti(state,X1),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X1] : ti(state,sK2) = ti(state,X1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f69,f74]) ).

fof(f74,plain,
    ( ? [X0] :
      ! [X1] : ti(state,X0) = ti(state,X1)
   => ! [X1] : ti(state,sK2) = ti(state,X1) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0] :
    ! [X1] : ti(state,X0) = ti(state,X1),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ~ ! [X0] :
        ~ ! [X1] : ti(state,X0) = ti(state,X1),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X5] :
        ~ ! [X4] : ti(state,X4) = ti(state,X5),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X5] :
      ~ ! [X4] : ti(state,X4) = ti(state,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f82,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 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
% 0.13/0.34  % Computer : n017.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 20:04:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (8421)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48  % (8428)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.48  % (8428)Instruction limit reached!
% 0.20/0.48  % (8428)------------------------------
% 0.20/0.48  % (8428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (8421)First to succeed.
% 0.20/0.49  % (8428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (8428)Termination reason: Unknown
% 0.20/0.49  % (8428)Termination phase: Property scanning
% 0.20/0.49  
% 0.20/0.49  % (8428)Memory used [KB]: 1535
% 0.20/0.49  % (8428)Time elapsed: 0.006 s
% 0.20/0.49  % (8428)Instructions burned: 12 (million)
% 0.20/0.49  % (8428)------------------------------
% 0.20/0.49  % (8428)------------------------------
% 0.20/0.49  % (8421)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (8421)------------------------------
% 0.20/0.49  % (8421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (8421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (8421)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (8421)Memory used [KB]: 6012
% 0.20/0.49  % (8421)Time elapsed: 0.096 s
% 0.20/0.49  % (8421)Instructions burned: 2 (million)
% 0.20/0.49  % (8421)------------------------------
% 0.20/0.49  % (8421)------------------------------
% 0.20/0.49  % (8417)Success in time 0.14 s
%------------------------------------------------------------------------------