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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n007.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 19:19:29 EDT 2022

% Result   : Theorem 0.17s 0.55s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   33 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  18   ~;   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(f343,plain,
    $false,
    inference(subsumption_resolution,[],[f342,f262]) ).

fof(f262,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f62]) ).

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

fof(f342,plain,
    ~ hBOOL(hoare_1883395792gleton),
    inference(subsumption_resolution,[],[f224,f280]) ).

fof(f280,plain,
    ! [X0,X1] : ti(state,X1) = ti(state,X0),
    inference(superposition,[],[f215,f215]) ).

fof(f215,plain,
    ! [X1] : ti(state,X1) = ti(state,sK2),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X1] : ti(state,X1) = ti(state,sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f135,f154]) ).

fof(f154,plain,
    ( ? [X0] :
      ! [X1] : ti(state,X1) = ti(state,X0)
   => ! [X1] : ti(state,X1) = ti(state,sK2) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ? [X0] :
    ! [X1] : ti(state,X1) = ti(state,X0),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ~ ! [X0] :
        ~ ! [X1] : ti(state,X1) = ti(state,X0),
    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(f224,plain,
    ( ti(state,sK4) != ti(state,sK3)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ti(state,sK4) != ti(state,sK3)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f161,f162]) ).

fof(f162,plain,
    ( ? [X2,X3] : ti(state,X2) != ti(state,X3)
   => ti(state,sK4) != ti(state,sK3) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X2,X3] : ti(state,X2) != ti(state,X3)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(rectify,[],[f160]) ).

fof(f160,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X0,X1] : ti(state,X1) != ti(state,X0)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X0,X1] : ti(state,X1) != ti(state,X0) ),
    inference(rectify,[],[f18]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n007.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 21:15:46 EDT 2022
% 0.17/0.33  % CPUTime    : 
% 0.17/0.50  % (30518)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (30535)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)
% 0.17/0.52  % (30527)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)
% 0.17/0.52  % (30534)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.52  % (30526)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.53  % (30519)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.53  % (30520)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.53  % (30520)Instruction limit reached!
% 0.17/0.53  % (30520)------------------------------
% 0.17/0.53  % (30520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (30520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (30520)Termination reason: Unknown
% 0.17/0.53  % (30520)Termination phase: shuffling
% 0.17/0.53  
% 0.17/0.53  % (30520)Memory used [KB]: 1023
% 0.17/0.53  % (30520)Time elapsed: 0.003 s
% 0.17/0.53  % (30520)Instructions burned: 3 (million)
% 0.17/0.53  % (30520)------------------------------
% 0.17/0.53  % (30520)------------------------------
% 0.17/0.53  % (30534)First to succeed.
% 0.17/0.54  % (30519)Instruction limit reached!
% 0.17/0.54  % (30519)------------------------------
% 0.17/0.54  % (30519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (30519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (30519)Termination reason: Unknown
% 0.17/0.54  % (30519)Termination phase: Property scanning
% 0.17/0.54  
% 0.17/0.54  % (30519)Memory used [KB]: 1023
% 0.17/0.54  % (30519)Time elapsed: 0.012 s
% 0.17/0.54  % (30519)Instructions burned: 7 (million)
% 0.17/0.54  % (30519)------------------------------
% 0.17/0.54  % (30519)------------------------------
% 0.17/0.54  % (30522)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54  % (30517)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.54  % (30514)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.55  % (30521)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.55  % (30535)Also succeeded, but the first one will report.
% 0.17/0.55  % (30534)Refutation found. Thanks to Tanya!
% 0.17/0.55  % SZS status Theorem for theBenchmark
% 0.17/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55  % (30534)------------------------------
% 0.17/0.55  % (30534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (30534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (30534)Termination reason: Refutation
% 0.17/0.55  
% 0.17/0.55  % (30534)Memory used [KB]: 1151
% 0.17/0.55  % (30534)Time elapsed: 0.126 s
% 0.17/0.55  % (30534)Instructions burned: 15 (million)
% 0.17/0.55  % (30534)------------------------------
% 0.17/0.55  % (30534)------------------------------
% 0.17/0.55  % (30511)Success in time 0.212 s
%------------------------------------------------------------------------------