TSTP Solution File: SWV172+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV172+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n028.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 18:55:43 EDT 2022

% Result   : Theorem 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  214 (  57 equ)
%            Maximal formula atoms :   34 (  16 avg)
%            Number of connectives :  274 (  73   ~;  66   |;  96   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f453,plain,
    $false,
    inference(subsumption_resolution,[],[f452,f285]) ).

fof(f285,plain,
    leq(pv54,n4),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( ( ! [X0] :
          ( ~ leq(n0,X0)
          | init = a_select2(sigmaold_init,X0)
          | ~ leq(X0,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( ~ leq(n0,X1)
        | init = a_select3(center_init,X1,n0)
        | ~ leq(X1,n4) )
    & ! [X2] :
        ( ! [X3] :
            ( ~ leq(X3,n4)
            | init = a_select3(q_init,X2,X3)
            | ~ leq(n0,X3) )
        | ~ leq(n0,X2)
        | ~ leq(X2,n135299) )
    & leq(n0,pv54)
    & ( ~ gt(loopcounter,n1)
      | ! [X4] :
          ( ~ leq(X4,n4)
          | ~ leq(n0,X4)
          | init = a_select2(muold_init,X4) ) )
    & init != a_select2(rho_init,pv54)
    & ! [X5] :
        ( init = a_select2(mu_init,X5)
        | ~ leq(X5,n4)
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( ~ leq(X6,n4)
        | ~ leq(n0,X6)
        | init = a_select2(rho_init,X6) )
    & leq(pv54,n4)
    & ! [X7] :
        ( ~ leq(X7,n4)
        | init = a_select2(sigma_init,X7)
        | ~ leq(n0,X7) )
    & leq(n0,pv10)
    & ( ~ gt(loopcounter,n1)
      | ! [X8] :
          ( ~ leq(X8,n4)
          | init = a_select2(rhoold_init,X8)
          | ~ leq(n0,X8) ) )
    & leq(pv10,n135299) ),
    inference(rectify,[],[f138]) ).

fof(f138,plain,
    ( ( ! [X7] :
          ( ~ leq(n0,X7)
          | init = a_select2(sigmaold_init,X7)
          | ~ leq(X7,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X4] :
        ( ~ leq(n0,X4)
        | init = a_select3(center_init,X4,n0)
        | ~ leq(X4,n4) )
    & ! [X5] :
        ( ! [X6] :
            ( ~ leq(X6,n4)
            | init = a_select3(q_init,X5,X6)
            | ~ leq(n0,X6) )
        | ~ leq(n0,X5)
        | ~ leq(X5,n135299) )
    & leq(n0,pv54)
    & ( ~ gt(loopcounter,n1)
      | ! [X3] :
          ( ~ leq(X3,n4)
          | ~ leq(n0,X3)
          | init = a_select2(muold_init,X3) ) )
    & init != a_select2(rho_init,pv54)
    & ! [X1] :
        ( init = a_select2(mu_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ~ leq(X2,n4)
        | ~ leq(n0,X2)
        | init = a_select2(rho_init,X2) )
    & leq(pv54,n4)
    & ! [X8] :
        ( ~ leq(X8,n4)
        | init = a_select2(sigma_init,X8)
        | ~ leq(n0,X8) )
    & leq(n0,pv10)
    & ( ~ gt(loopcounter,n1)
      | ! [X0] :
          ( ~ leq(X0,n4)
          | init = a_select2(rhoold_init,X0)
          | ~ leq(n0,X0) ) )
    & leq(pv10,n135299) ),
    inference(flattening,[],[f137]) ).

fof(f137,plain,
    ( init != a_select2(rho_init,pv54)
    & leq(n0,pv54)
    & ! [X8] :
        ( init = a_select2(sigma_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ( ! [X0] :
          ( init = a_select2(rhoold_init,X0)
          | ~ leq(X0,n4)
          | ~ leq(n0,X0) )
      | ~ gt(loopcounter,n1) )
    & ! [X2] :
        ( init = a_select2(rho_init,X2)
        | ~ leq(n0,X2)
        | ~ leq(X2,n4) )
    & leq(pv54,n4)
    & ! [X1] :
        ( init = a_select2(mu_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ( ! [X7] :
          ( init = a_select2(sigmaold_init,X7)
          | ~ leq(n0,X7)
          | ~ leq(X7,n4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X3] :
          ( init = a_select2(muold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n1) )
    & ! [X4] :
        ( init = a_select3(center_init,X4,n0)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(X6,n4)
            | ~ leq(n0,X6) )
        | ~ leq(n0,X5)
        | ~ leq(X5,n135299) )
    & leq(n0,pv10)
    & leq(pv10,n135299) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( leq(n0,pv54)
        & ! [X8] :
            ( ( leq(X8,n4)
              & leq(n0,X8) )
           => init = a_select2(sigma_init,X8) )
        & ( gt(loopcounter,n1)
         => ! [X0] :
              ( ( leq(X0,n4)
                & leq(n0,X0) )
             => init = a_select2(rhoold_init,X0) ) )
        & ! [X2] :
            ( ( leq(n0,X2)
              & leq(X2,n4) )
           => init = a_select2(rho_init,X2) )
        & leq(pv54,n4)
        & ! [X1] :
            ( ( leq(X1,n4)
              & leq(n0,X1) )
           => init = a_select2(mu_init,X1) )
        & ( gt(loopcounter,n1)
         => ! [X7] :
              ( ( leq(n0,X7)
                & leq(X7,n4) )
             => init = a_select2(sigmaold_init,X7) ) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(X3,n4)
                & leq(n0,X3) )
             => init = a_select2(muold_init,X3) ) )
        & ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select3(center_init,X4,n0) )
        & ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n135299) )
           => ! [X6] :
                ( ( leq(X6,n4)
                  & leq(n0,X6) )
               => init = a_select3(q_init,X5,X6) ) )
        & leq(n0,pv10)
        & leq(pv10,n135299) )
     => init = a_select2(rho_init,pv54) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv54,n4)
        & ( gt(loopcounter,n1)
         => ! [X28] :
              ( ( leq(n0,X28)
                & leq(X28,n4) )
             => init = a_select2(rhoold_init,X28) ) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select2(mu_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select2(rho_init,X3) )
        & leq(n0,pv54)
        & ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(muold_init,X27) ) )
        & ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => init = a_select3(center_init,X21,n0) )
        & leq(pv10,n135299)
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => a_select3(q_init,X13,X17) = init ) )
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(X4,n4)
                & leq(n0,X4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & leq(n0,pv10) )
     => init = a_select2(rho_init,pv54) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv54,n4)
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => init = a_select2(rhoold_init,X28) ) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select2(mu_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select2(rho_init,X3) )
      & leq(n0,pv54)
      & ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(muold_init,X27) ) )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => init = a_select3(center_init,X21,n0) )
      & leq(pv10,n135299)
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => a_select3(q_init,X13,X17) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select2(sigmaold_init,X4) ) )
      & ! [X20] :
          ( ( leq(X20,n4)
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & leq(n0,pv10) )
   => init = a_select2(rho_init,pv54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0036) ).

fof(f452,plain,
    ~ leq(pv54,n4),
    inference(subsumption_resolution,[],[f451,f288]) ).

fof(f288,plain,
    init != a_select2(rho_init,pv54),
    inference(cnf_transformation,[],[f194]) ).

fof(f451,plain,
    ( init = a_select2(rho_init,pv54)
    | ~ leq(pv54,n4) ),
    inference(resolution,[],[f286,f290]) ).

fof(f290,plain,
    leq(n0,pv54),
    inference(cnf_transformation,[],[f194]) ).

fof(f286,plain,
    ! [X6] :
      ( ~ leq(n0,X6)
      | ~ leq(X6,n4)
      | init = a_select2(rho_init,X6) ),
    inference(cnf_transformation,[],[f194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV172+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14  % 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 : n028.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 19:14:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (29191)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (29199)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (29199)Instruction limit reached!
% 0.20/0.52  % (29199)------------------------------
% 0.20/0.52  % (29199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29199)Termination reason: Unknown
% 0.20/0.52  % (29199)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (29199)Memory used [KB]: 1023
% 0.20/0.52  % (29199)Time elapsed: 0.002 s
% 0.20/0.52  % (29199)Instructions burned: 2 (million)
% 0.20/0.52  % (29199)------------------------------
% 0.20/0.52  % (29199)------------------------------
% 0.20/0.53  % (29207)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (29206)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)
% 0.20/0.54  % (29197)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)
% 0.20/0.54  % (29194)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (29201)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (29220)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (29192)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (29214)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)
% 0.20/0.54  % (29195)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (29200)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)
% 0.20/0.54  % (29193)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)
% 0.20/0.54  % (29221)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (29198)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (29218)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (29198)Instruction limit reached!
% 0.20/0.55  % (29198)------------------------------
% 0.20/0.55  % (29198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29198)Termination reason: Unknown
% 0.20/0.55  % (29198)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (29198)Memory used [KB]: 1151
% 0.20/0.55  % (29198)Time elapsed: 0.005 s
% 0.20/0.55  % (29198)Instructions burned: 9 (million)
% 0.20/0.55  % (29198)------------------------------
% 0.20/0.55  % (29198)------------------------------
% 0.20/0.55  % (29213)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)
% 0.20/0.55  % (29217)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)
% 0.20/0.55  % (29211)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (29210)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (29215)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (29216)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (29209)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (29205)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)
% 0.20/0.56  % (29202)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)
% 0.20/0.56  % (29203)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (29208)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (29196)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)
% 0.20/0.57  TRYING [2]
% 0.20/0.58  % (29213)First to succeed.
% 0.20/0.58  % (29213)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Theorem for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (29213)------------------------------
% 0.20/0.58  % (29213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (29213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (29213)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (29213)Memory used [KB]: 1279
% 0.20/0.58  % (29213)Time elapsed: 0.147 s
% 0.20/0.58  % (29213)Instructions burned: 10 (million)
% 0.20/0.58  % (29213)------------------------------
% 0.20/0.58  % (29213)------------------------------
% 0.20/0.58  % (29190)Success in time 0.215 s
%------------------------------------------------------------------------------