TSTP Solution File: RNG124+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG124+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n015.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 18:15:57 EDT 2022

% Result   : Unknown 1.79s 0.60s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :  108 (  38 equ)
%            Maximal formula atoms :   11 (   5 avg)
%            Number of connectives :  123 (  36   ~;  23   |;  60   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :   37 (  15   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f631,plain,
    $false,
    inference(subsumption_resolution,[],[f630,f395]) ).

fof(f395,plain,
    aElementOf0(xr,xI),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ( aElementOf0(xr,xI)
    & xr = sdtpldt0(sK44,sK43)
    & aElementOf0(sK44,slsdtgt0(xa))
    & aElementOf0(sK43,slsdtgt0(xb)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f231,f232]) ).

fof(f232,plain,
    ( ? [X0,X1] :
        ( sdtpldt0(X1,X0) = xr
        & aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X0,slsdtgt0(xb)) )
   => ( xr = sdtpldt0(sK44,sK43)
      & aElementOf0(sK44,slsdtgt0(xa))
      & aElementOf0(sK43,slsdtgt0(xb)) ) ),
    introduced(choice_axiom,[]) ).

fof(f231,plain,
    ( aElementOf0(xr,xI)
    & ? [X0,X1] :
        ( sdtpldt0(X1,X0) = xr
        & aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X0,slsdtgt0(xb)) ) ),
    inference(rectify,[],[f55]) ).

fof(f55,axiom,
    ( aElementOf0(xr,xI)
    & ? [X1,X0] :
        ( sdtpldt0(X0,X1) = xr
        & aElementOf0(X0,slsdtgt0(xa))
        & aElementOf0(X1,slsdtgt0(xb)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).

fof(f630,plain,
    ~ aElementOf0(xr,xI),
    inference(subsumption_resolution,[],[f629,f289]) ).

fof(f289,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    sz00 != xr,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).

fof(f629,plain,
    ( sz00 = xr
    | ~ aElementOf0(xr,xI) ),
    inference(resolution,[],[f317,f549]) ).

fof(f549,plain,
    iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
    inference(subsumption_resolution,[],[f358,f289]) ).

fof(f358,plain,
    ( sz00 = xr
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | sz00 = xr )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xq)
    & aElement0(xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

fof(f317,plain,
    ! [X0] :
      ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
      | ~ aElementOf0(X0,xI)
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( aElementOf0(xu,xI)
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ( ~ aElementOf0(X0,xI)
          & ! [X1,X2] :
              ( sdtpldt0(X2,X1) != X0
              | ~ aElementOf0(X1,slsdtgt0(xb))
              | ~ aElementOf0(X2,slsdtgt0(xa)) ) )
        | sz00 = X0 )
    & xu = sdtpldt0(sK20,sK19)
    & aElementOf0(sK20,slsdtgt0(xa))
    & aElementOf0(sK19,slsdtgt0(xb))
    & sz00 != xu ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f180,f181]) ).

fof(f181,plain,
    ( ? [X3,X4] :
        ( xu = sdtpldt0(X4,X3)
        & aElementOf0(X4,slsdtgt0(xa))
        & aElementOf0(X3,slsdtgt0(xb)) )
   => ( xu = sdtpldt0(sK20,sK19)
      & aElementOf0(sK20,slsdtgt0(xa))
      & aElementOf0(sK19,slsdtgt0(xb)) ) ),
    introduced(choice_axiom,[]) ).

fof(f180,plain,
    ( aElementOf0(xu,xI)
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ( ~ aElementOf0(X0,xI)
          & ! [X1,X2] :
              ( sdtpldt0(X2,X1) != X0
              | ~ aElementOf0(X1,slsdtgt0(xb))
              | ~ aElementOf0(X2,slsdtgt0(xa)) ) )
        | sz00 = X0 )
    & ? [X3,X4] :
        ( xu = sdtpldt0(X4,X3)
        & aElementOf0(X4,slsdtgt0(xa))
        & aElementOf0(X3,slsdtgt0(xb)) )
    & sz00 != xu ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ( aElementOf0(xu,xI)
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ( ~ aElementOf0(X0,xI)
          & ! [X2,X1] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        | sz00 = X0 )
    & ? [X3,X4] :
        ( xu = sdtpldt0(X4,X3)
        & aElementOf0(X4,slsdtgt0(xa))
        & aElementOf0(X3,slsdtgt0(xb)) )
    & sz00 != xu ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ( ? [X3,X4] :
        ( xu = sdtpldt0(X4,X3)
        & aElementOf0(X4,slsdtgt0(xa))
        & aElementOf0(X3,slsdtgt0(xb)) )
    & aElementOf0(xu,xI)
    & sz00 != xu
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ( ~ aElementOf0(X0,xI)
          & ! [X2,X1] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        | sz00 = X0 ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ? [X3,X4] :
        ( xu = sdtpldt0(X4,X3)
        & aElementOf0(X4,slsdtgt0(xa))
        & aElementOf0(X3,slsdtgt0(xb)) )
    & aElementOf0(xu,xI)
    & sz00 != xu
    & ! [X0] :
        ( ( ( aElementOf0(X0,xI)
            | ? [X1,X2] :
                ( aElementOf0(X1,slsdtgt0(xa))
                & sdtpldt0(X1,X2) = X0
                & aElementOf0(X2,slsdtgt0(xb)) ) )
          & sz00 != X0 )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( ( aElementOf0(X0,xI)
            | ? [X1,X2] :
                ( aElementOf0(X1,slsdtgt0(xa))
                & sdtpldt0(X1,X2) = X0
                & aElementOf0(X2,slsdtgt0(xb)) ) )
          & sz00 != X0 )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & aElementOf0(xu,xI)
    & sz00 != xu
    & ? [X1,X0] :
        ( sdtpldt0(X0,X1) = xu
        & aElementOf0(X1,slsdtgt0(xb))
        & aElementOf0(X0,slsdtgt0(xa)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG124+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 12:25:36 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.51  % (15096)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)
% 0.22/0.53  % (15104)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54  % (15112)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)
% 0.22/0.54  % (15101)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)
% 0.22/0.54  % (15120)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.54  % (15104)Instruction limit reached!
% 0.22/0.54  % (15104)------------------------------
% 0.22/0.54  % (15104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (15104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (15104)Termination reason: Unknown
% 0.22/0.54  % (15104)Termination phase: Preprocessing 3
% 0.22/0.54  
% 0.22/0.54  % (15104)Memory used [KB]: 1023
% 0.22/0.54  % (15104)Time elapsed: 0.005 s
% 0.22/0.54  % (15104)Instructions burned: 3 (million)
% 0.22/0.54  % (15104)------------------------------
% 0.22/0.54  % (15104)------------------------------
% 0.22/0.54  % (15102)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)
% 0.22/0.54  % (15107)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)
% 0.22/0.54  % (15111)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)
% 0.22/0.54  % (15109)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.54  % (15106)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54  % (15108)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.55  TRYING [1]
% 0.22/0.55  % (15118)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)
% 0.22/0.55  TRYING [2]
% 0.22/0.55  % (15123)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)
% 0.22/0.55  % (15121)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.55  % (15125)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)
% 0.22/0.55  % (15122)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)
% 0.22/0.55  % (15124)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.56  % (15110)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)
% 0.22/0.56  % (15103)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.56  % (15115)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)
% 0.22/0.56  % (15117)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.56  % (15103)Instruction limit reached!
% 0.22/0.56  % (15103)------------------------------
% 0.22/0.56  % (15103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (15103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (15103)Termination reason: Unknown
% 0.22/0.56  % (15103)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (15103)Memory used [KB]: 1151
% 0.22/0.56  % (15103)Time elapsed: 0.004 s
% 0.22/0.56  % (15103)Instructions burned: 8 (million)
% 0.22/0.56  % (15103)------------------------------
% 0.22/0.56  % (15103)------------------------------
% 0.22/0.56  % (15114)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.56  % (15116)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)
% 0.22/0.56  % (15099)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)
% 0.22/0.56  % (15119)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)
% 0.22/0.56  % (15098)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)
% 0.22/0.56  % (15100)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.57  TRYING [1]
% 1.45/0.57  TRYING [2]
% 1.45/0.57  TRYING [3]
% 1.45/0.58  % (15118)First to succeed.
% 1.79/0.60  % (15113)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.79/0.60  % (15118)Refutation found. Thanks to Tanya!
% 1.79/0.60  % SZS status ContradictoryAxioms for theBenchmark
% 1.79/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.60  % (15118)------------------------------
% 1.79/0.60  % (15118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (15118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (15118)Termination reason: Refutation
% 1.79/0.60  
% 1.79/0.60  % (15118)Memory used [KB]: 1407
% 1.79/0.60  % (15118)Time elapsed: 0.151 s
% 1.79/0.60  % (15118)Instructions burned: 16 (million)
% 1.79/0.60  % (15118)------------------------------
% 1.79/0.60  % (15118)------------------------------
% 1.79/0.60  % (15095)Success in time 0.242 s
%------------------------------------------------------------------------------