TSTP Solution File: COM144+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n005.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 15:53:59 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   54 (  35 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  20   ~;   9   |;  15   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   75 (  55   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f610,plain,
    $false,
    inference(subsumption_resolution,[],[f609,f415]) ).

fof(f415,plain,
    ! [X0] : vnoExp != vsomeExp(X0),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] : vnoExp != vsomeExp(X0),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X3] : vnoExp != vsomeExp(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).

fof(f609,plain,
    vnoExp = vsomeExp(sK55),
    inference(forward_demodulation,[],[f433,f514]) ).

fof(f514,plain,
    ! [X0,X1,X4] : vnoExp = vreduce(vabs(X1,X4,X0)),
    inference(equality_resolution,[],[f513]) ).

fof(f513,plain,
    ! [X2,X0,X1,X4] :
      ( vreduce(vabs(X1,X4,X0)) != X2
      | vnoExp = X2 ),
    inference(equality_resolution,[],[f362]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vabs(X1,X4,X0) != X3
      | vreduce(X3) != X2
      | vnoExp = X2 ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vabs(X1,X4,X0) != X3
      | vreduce(X3) != X2
      | vnoExp = X2 ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X2,X0,X1,X4,X3] :
      ( vabs(X0,X3,X2) != X4
      | vreduce(X4) != X1
      | vnoExp = X1 ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X3,X0,X4,X1,X2] :
      ( vnoExp = X1
      | vreduce(X4) != X1
      | vabs(X0,X3,X2) != X4 ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X3,X0,X4,X1,X2] :
      ( vabs(X0,X3,X2) = X4
     => ( vreduce(X4) = X1
       => vnoExp = X1 ) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X8,X18,X10,X9,X3] :
      ( vabs(X8,X9,X10) = X3
     => ( vreduce(X3) = X18
       => vnoExp = X18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduce1) ).

fof(f433,plain,
    vsomeExp(sK55) = vreduce(vabs(sK57,sK54,ve1)),
    inference(cnf_transformation,[],[f298]) ).

fof(f298,plain,
    ( vsomeExp(sK55) = vreduce(vabs(sK57,sK54,ve1))
    & ~ vtcheck(sK56,sK55,sK53)
    & vtcheck(sK56,vabs(sK57,sK54,ve1),sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f296,f297]) ).

fof(f297,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( vsomeExp(X2) = vreduce(vabs(X4,X1,ve1))
        & ~ vtcheck(X3,X2,X0)
        & vtcheck(X3,vabs(X4,X1,ve1),X0) )
   => ( vsomeExp(sK55) = vreduce(vabs(sK57,sK54,ve1))
      & ~ vtcheck(sK56,sK55,sK53)
      & vtcheck(sK56,vabs(sK57,sK54,ve1),sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f296,plain,
    ? [X0,X1,X2,X3,X4] :
      ( vsomeExp(X2) = vreduce(vabs(X4,X1,ve1))
      & ~ vtcheck(X3,X2,X0)
      & vtcheck(X3,vabs(X4,X1,ve1),X0) ),
    inference(rectify,[],[f201]) ).

fof(f201,plain,
    ? [X3,X2,X0,X1,X4] :
      ( vreduce(vabs(X4,X2,ve1)) = vsomeExp(X0)
      & ~ vtcheck(X1,X0,X3)
      & vtcheck(X1,vabs(X4,X2,ve1),X3) ),
    inference(flattening,[],[f200]) ).

fof(f200,plain,
    ? [X1,X3,X2,X0,X4] :
      ( ~ vtcheck(X1,X0,X3)
      & vtcheck(X1,vabs(X4,X2,ve1),X3)
      & vreduce(vabs(X4,X2,ve1)) = vsomeExp(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X1,X3,X2,X0,X4] :
        ( ( vtcheck(X1,vabs(X4,X2,ve1),X3)
          & vreduce(vabs(X4,X2,ve1)) = vsomeExp(X0) )
       => vtcheck(X1,X0,X3) ),
    inference(rectify,[],[f61]) ).

fof(f61,negated_conjecture,
    ~ ! [X34,X19,X9,X14,X8] :
        ( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
          & vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
       => vtcheck(X19,X34,X14) ),
    inference(negated_conjecture,[],[f60]) ).

fof(f60,conjecture,
    ! [X34,X19,X9,X14,X8] :
      ( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
        & vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
     => vtcheck(X19,X34,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12  % 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 : n005.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   : Mon Aug 29 17:29:03 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (26401)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)
% 0.18/0.49  % (26400)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)
% 0.18/0.49  % (26427)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)
% 0.18/0.50  % (26399)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)
% 0.18/0.50  % (26406)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (26403)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)
% 0.18/0.50  % (26402)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (26398)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)
% 0.18/0.51  % (26400)First to succeed.
% 0.18/0.51  % (26407)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)
% 0.18/0.51  % (26403)Also succeeded, but the first one will report.
% 0.18/0.51  % (26421)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)
% 0.18/0.51  % (26424)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)
% 0.18/0.51  % (26413)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)
% 0.18/0.51  % (26415)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51  % (26416)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (26414)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)
% 0.18/0.52  % (26410)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (26418)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)
% 0.18/0.52  % (26404)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)
% 0.18/0.52  % (26408)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (26417)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)
% 0.18/0.52  % (26423)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (26422)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (26420)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)
% 0.18/0.52  % (26406)Instruction limit reached!
% 0.18/0.52  % (26406)------------------------------
% 0.18/0.52  % (26406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (26406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (26406)Termination reason: Unknown
% 0.18/0.52  % (26406)Termination phase: Naming
% 0.18/0.52  
% 0.18/0.52  % (26406)Memory used [KB]: 1151
% 0.18/0.52  % (26406)Time elapsed: 0.003 s
% 0.18/0.52  % (26406)Instructions burned: 3 (million)
% 0.18/0.52  % (26406)------------------------------
% 0.18/0.52  % (26406)------------------------------
% 0.18/0.53  % (26419)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (26405)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (26425)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)
% 0.18/0.53  % (26400)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Theorem for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (26400)------------------------------
% 0.18/0.53  % (26400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26400)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (26400)Memory used [KB]: 1407
% 0.18/0.53  % (26400)Time elapsed: 0.007 s
% 0.18/0.53  % (26400)Instructions burned: 13 (million)
% 0.18/0.53  % (26400)------------------------------
% 0.18/0.53  % (26400)------------------------------
% 0.18/0.53  % (26397)Success in time 0.19 s
%------------------------------------------------------------------------------