TSTP Solution File: SEU126+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU126+2 : TPTP v8.1.0. Released 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 : n026.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 18:32:01 EDT 2022

% Result   : Theorem 1.58s 0.56s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (  14 unt;   0 def)
%            Number of atoms       :   74 (  21 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   69 (  28   ~;  22   |;  13   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   56 (  52   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f320,plain,
    $false,
    inference(subsumption_resolution,[],[f319,f137]) ).

fof(f137,plain,
    sK6 != set_union2(sK5,sK6),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( sK6 != set_union2(sK5,sK6)
    & subset(sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f50,f89]) ).

fof(f89,plain,
    ( ? [X0,X1] :
        ( set_union2(X0,X1) != X1
        & subset(X0,X1) )
   => ( sK6 != set_union2(sK5,sK6)
      & subset(sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ? [X0,X1] :
      ( set_union2(X0,X1) != X1
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X1,X0] :
        ( subset(X0,X1)
       => set_union2(X0,X1) = X1 ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X1,X0] :
      ( subset(X0,X1)
     => set_union2(X0,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).

fof(f319,plain,
    sK6 = set_union2(sK5,sK6),
    inference(subsumption_resolution,[],[f317,f174]) ).

fof(f174,plain,
    ! [X0,X1] : subset(X0,set_union2(X1,X0)),
    inference(superposition,[],[f153,f116]) ).

fof(f116,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f153,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0] : subset(X1,set_union2(X1,X0)),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X0] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(f317,plain,
    ( ~ subset(sK6,set_union2(sK5,sK6))
    | sK6 = set_union2(sK5,sK6) ),
    inference(resolution,[],[f306,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | X0 = X1
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f306,plain,
    subset(set_union2(sK5,sK6),sK6),
    inference(resolution,[],[f286,f163]) ).

fof(f163,plain,
    ! [X1] : subset(X1,X1),
    inference(equality_resolution,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ subset(X0,sK6)
      | subset(set_union2(sK5,X0),sK6) ),
    inference(resolution,[],[f140,f136]) ).

fof(f136,plain,
    subset(sK5,sK6),
    inference(cnf_transformation,[],[f90]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X2)
      | subset(set_union2(X1,X0),X2)
      | ~ subset(X0,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( subset(set_union2(X1,X0),X2)
      | ~ subset(X0,X2)
      | ~ subset(X1,X2) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0,X2] :
      ( subset(set_union2(X0,X1),X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X2) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( subset(set_union2(X0,X1),X2)
      | ~ subset(X0,X2)
      | ~ subset(X1,X2) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ( subset(X0,X2)
        & subset(X1,X2) )
     => subset(set_union2(X0,X1),X2) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X2,X1] :
      ( ( subset(X2,X1)
        & subset(X0,X1) )
     => subset(set_union2(X0,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:54:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (19943)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (19941)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (19941)Instruction limit reached!
% 0.19/0.50  % (19941)------------------------------
% 0.19/0.50  % (19941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (19941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (19941)Termination reason: Unknown
% 0.19/0.50  % (19941)Termination phase: Property scanning
% 0.19/0.50  
% 0.19/0.50  % (19941)Memory used [KB]: 895
% 0.19/0.50  % (19941)Time elapsed: 0.002 s
% 0.19/0.50  % (19941)Instructions burned: 2 (million)
% 0.19/0.50  % (19941)------------------------------
% 0.19/0.50  % (19941)------------------------------
% 0.19/0.51  % (19938)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)
% 0.19/0.51  % (19942)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)
% 0.19/0.51  % (19934)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)
% 0.19/0.52  % (19936)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)
% 0.19/0.52  % (19935)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)
% 0.19/0.52  % (19939)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)
% 0.19/0.52  % (19940)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (19933)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)
% 0.19/0.52  % (19962)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)
% 0.19/0.52  % (19961)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (19952)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (19937)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (19956)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)
% 0.19/0.53  % (19949)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)
% 0.19/0.53  % (19947)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)
% 0.19/0.53  % (19954)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (19948)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)
% 0.19/0.53  % (19960)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)
% 0.19/0.53  % (19953)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)
% 1.40/0.53  % (19944)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)
% 1.40/0.53  TRYING [4]
% 1.40/0.54  % (19958)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54  % (19951)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54  % (19957)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.54  TRYING [1]
% 1.40/0.54  TRYING [2]
% 1.40/0.54  % (19945)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.54  % (19950)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54  % (19946)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.54  TRYING [3]
% 1.40/0.54  % (19940)Instruction limit reached!
% 1.40/0.54  % (19940)------------------------------
% 1.40/0.54  % (19940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (19940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (19940)Termination reason: Unknown
% 1.40/0.54  % (19940)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (19940)Memory used [KB]: 5500
% 1.40/0.54  % (19940)Time elapsed: 0.155 s
% 1.40/0.54  % (19940)Instructions burned: 7 (million)
% 1.40/0.54  % (19940)------------------------------
% 1.40/0.54  % (19940)------------------------------
% 1.40/0.55  % (19955)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)
% 1.40/0.55  % (19959)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)
% 1.40/0.55  % (19956)First to succeed.
% 1.40/0.56  % (19934)Refutation not found, incomplete strategy% (19934)------------------------------
% 1.40/0.56  % (19934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56  % (19934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56  % (19934)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56  
% 1.40/0.56  % (19934)Memory used [KB]: 5500
% 1.40/0.56  % (19934)Time elapsed: 0.161 s
% 1.40/0.56  % (19934)Instructions burned: 7 (million)
% 1.40/0.56  % (19934)------------------------------
% 1.40/0.56  % (19934)------------------------------
% 1.58/0.56  % (19956)Refutation found. Thanks to Tanya!
% 1.58/0.56  % SZS status Theorem for theBenchmark
% 1.58/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.56  % (19956)------------------------------
% 1.58/0.56  % (19956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (19956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (19956)Termination reason: Refutation
% 1.58/0.56  
% 1.58/0.56  % (19956)Memory used [KB]: 5628
% 1.58/0.56  % (19956)Time elapsed: 0.094 s
% 1.58/0.56  % (19956)Instructions burned: 10 (million)
% 1.58/0.56  % (19956)------------------------------
% 1.58/0.56  % (19956)------------------------------
% 1.58/0.56  % (19932)Success in time 0.205 s
%------------------------------------------------------------------------------