TSTP Solution File: RNG070+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG070+2 : 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 : n013.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 18:15:40 EDT 2022

% Result   : Theorem 1.84s 0.58s
% Output   : Refutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  18 unt;   0 def)
%            Number of atoms       :   77 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   73 (  34   ~;  30   |;   6   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f557,plain,
    $false,
    inference(subsumption_resolution,[],[f556,f500]) ).

fof(f500,plain,
    aScalar0(sF3),
    inference(subsumption_resolution,[],[f499,f234]) ).

fof(f234,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f499,plain,
    ( ~ aScalar0(xP)
    | aScalar0(sF3) ),
    inference(duplicate_literal_removal,[],[f486]) ).

fof(f486,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | aScalar0(sF3) ),
    inference(superposition,[],[f242,f258]) ).

fof(f258,plain,
    sdtpldt0(xP,xP) = sF3,
    introduced(function_definition,[]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f556,plain,
    ~ aScalar0(sF3),
    inference(subsumption_resolution,[],[f555,f311]) ).

fof(f311,plain,
    ~ sdtlseqdt0(sF3,sF2),
    inference(forward_demodulation,[],[f309,f257]) ).

fof(f257,plain,
    sdtpldt0(xR,xS) = sF2,
    introduced(function_definition,[]) ).

fof(f309,plain,
    ~ sdtlseqdt0(sF3,sdtpldt0(xR,xS)),
    inference(superposition,[],[f225,f258]) ).

fof(f225,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).

fof(f555,plain,
    ( sdtlseqdt0(sF3,sF2)
    | ~ aScalar0(sF3) ),
    inference(subsumption_resolution,[],[f550,f502]) ).

fof(f502,plain,
    aScalar0(sF2),
    inference(subsumption_resolution,[],[f501,f206]) ).

fof(f206,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f501,plain,
    ( ~ aScalar0(xR)
    | aScalar0(sF2) ),
    inference(subsumption_resolution,[],[f485,f251]) ).

fof(f251,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f485,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | aScalar0(sF2) ),
    inference(superposition,[],[f242,f257]) ).

fof(f550,plain,
    ( ~ aScalar0(sF2)
    | sdtlseqdt0(sF3,sF2)
    | ~ aScalar0(sF3) ),
    inference(resolution,[],[f237,f259]) ).

fof(f259,plain,
    ~ sdtlseqdt0(sF2,sF3),
    inference(definition_folding,[],[f172,f258,f257]) ).

fof(f172,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(flattening,[],[f62]) ).

fof(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(negated_conjecture,[],[f61]) ).

fof(f61,conjecture,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f237,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f125]) ).

fof(f125,plain,
    ! [X1,X0] :
      ( sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % 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 : n013.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 12:00:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (25407)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)
% 0.18/0.49  % (25424)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)
% 0.18/0.50  % (25416)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  % (25408)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  % (25423)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  % (25408)Instruction limit reached!
% 0.18/0.52  % (25408)------------------------------
% 0.18/0.52  % (25408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25408)Termination reason: Unknown
% 0.18/0.52  % (25408)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (25408)Memory used [KB]: 5628
% 0.18/0.52  % (25408)Time elapsed: 0.078 s
% 0.18/0.52  % (25408)Instructions burned: 7 (million)
% 0.18/0.52  % (25408)------------------------------
% 0.18/0.52  % (25408)------------------------------
% 0.18/0.52  % (25403)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)
% 0.18/0.52  % (25415)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)
% 0.18/0.53  % (25405)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (25401)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)
% 0.18/0.53  % (25406)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)
% 0.18/0.54  % (25422)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  TRYING [2]
% 0.18/0.54  % (25404)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)
% 0.18/0.55  % (25430)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)
% 0.18/0.55  % (25402)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)
% 0.18/0.55  % (25414)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.55  % (25412)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)
% 1.63/0.55  % (25409)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.55  % (25409)Instruction limit reached!
% 1.63/0.55  % (25409)------------------------------
% 1.63/0.55  % (25409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.55  % (25409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.55  % (25409)Termination reason: Unknown
% 1.63/0.55  % (25409)Termination phase: Naming
% 1.63/0.55  
% 1.63/0.55  % (25409)Memory used [KB]: 1023
% 1.63/0.55  % (25409)Time elapsed: 0.003 s
% 1.63/0.55  % (25409)Instructions burned: 2 (million)
% 1.63/0.55  % (25409)------------------------------
% 1.63/0.55  % (25409)------------------------------
% 1.63/0.55  % (25421)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)
% 1.63/0.55  % (25417)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)
% 1.63/0.55  % (25420)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)
% 1.63/0.56  % (25411)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.63/0.56  % (25426)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.63/0.56  TRYING [1]
% 1.63/0.56  % (25419)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.56  % (25410)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)
% 1.63/0.56  TRYING [2]
% 1.63/0.57  % (25418)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.63/0.57  % (25429)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.57  % (25413)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.63/0.57  % (25427)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)
% 1.63/0.57  % (25425)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.84/0.57  TRYING [3]
% 1.84/0.58  % (25407)Instruction limit reached!
% 1.84/0.58  % (25407)------------------------------
% 1.84/0.58  % (25407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58  % (25414)First to succeed.
% 1.84/0.58  % (25414)Refutation found. Thanks to Tanya!
% 1.84/0.58  % SZS status Theorem for theBenchmark
% 1.84/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.58  % (25414)------------------------------
% 1.84/0.58  % (25414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58  % (25414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58  % (25414)Termination reason: Refutation
% 1.84/0.58  
% 1.84/0.58  % (25414)Memory used [KB]: 5756
% 1.84/0.58  % (25414)Time elapsed: 0.192 s
% 1.84/0.58  % (25414)Instructions burned: 15 (million)
% 1.84/0.58  % (25414)------------------------------
% 1.84/0.58  % (25414)------------------------------
% 1.84/0.58  % (25400)Success in time 0.248 s
%------------------------------------------------------------------------------