TSTP Solution File: DAT060_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT060_1 : TPTP v8.1.0. Released v5.5.0.
% 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 16:04:46 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   34 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  15   ~;   7   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   34 (  11 atm;   0 fun;   0 num;  23 var)
%            Number of types       :    3 (   2 usr;   1 ari)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   45 (  33   !;  12   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    data: $tType ).

tff(type_def_6,type,
    array: $tType ).

tff(func_def_0,type,
    mkarray: array ).

tff(func_def_1,type,
    none: data ).

tff(func_def_2,type,
    put: ( array * $int * data ) > array ).

tff(func_def_3,type,
    get: ( array * $int ) > data ).

tff(func_def_8,type,
    sK0: data ).

tff(func_def_9,type,
    sK1: array ).

tff(func_def_10,type,
    sK2: $int ).

tff(func_def_11,type,
    sK3: $int ).

tff(func_def_12,type,
    sK4: ( array * array ) > $int ).

tff(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f78,plain,
    $less(sK2,sK2),
    inference(backward_demodulation,[],[f37,f77]) ).

tff(f77,plain,
    sK2 = sK3,
    inference(trivial_inequality_removal,[],[f75]) ).

tff(f75,plain,
    ( ( get(sK1,sK3) != get(sK1,sK3) )
    | ( sK2 = sK3 ) ),
    inference(superposition,[],[f38,f42]) ).

tff(f42,plain,
    ! [X2: $int,X3: array,X0: $int,X1: data] :
      ( ( get(put(X3,X0,X1),X2) = get(X3,X2) )
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: $int,X1: data,X2: $int,X3: array] :
      ( ( get(put(X3,X0,X1),X2) = get(X3,X2) )
      | ( X0 = X2 ) ),
    inference(rectify,[],[f26]) ).

tff(f26,plain,
    ! [X0: $int,X3: data,X2: $int,X1: array] :
      ( ( get(put(X1,X0,X3),X2) = get(X1,X2) )
      | ( X0 = X2 ) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X3: data,X2: $int,X0: $int,X1: array] :
      ( ( X0 != X2 )
     => ( get(put(X1,X0,X3),X2) = get(X1,X2) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X3: $int,X1: array,X0: $int,X2: data] :
      ( ( X0 != X3 )
     => ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).

tff(f38,plain,
    get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,plain,
    ( ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) )
    & $less(sK3,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f28]) ).

tff(f28,plain,
    ( ? [X0: data,X1: array,X2: $int,X3: $int] :
        ( ( get(X1,X3) != get(put(X1,X2,X0),X3) )
        & $less(X3,X2) )
   => ( ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) )
      & $less(sK3,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f27,plain,
    ? [X0: data,X1: array,X2: $int,X3: $int] :
      ( ( get(X1,X3) != get(put(X1,X2,X0),X3) )
      & $less(X3,X2) ),
    inference(rectify,[],[f25]) ).

tff(f25,plain,
    ? [X0: data,X1: array,X3: $int,X2: $int] :
      ( ( get(X1,X2) != get(put(X1,X3,X0),X2) )
      & $less(X2,X3) ),
    inference(ennf_transformation,[],[f20]) ).

tff(f20,plain,
    ~ ! [X0: data,X3: $int,X1: array,X2: $int] :
        ( ~ $less(X2,X3)
        | ( get(X1,X2) = get(put(X1,X3,X0),X2) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X2: data,X1: array,X3: $int,X0: $int] :
        ( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
        | ~ $less(X3,X0) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X2: data,X1: array,X3: $int,X0: $int] :
      ( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
      | ~ $less(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_6) ).

tff(f37,plain,
    $less(sK3,sK2),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT060=1 : TPTP v8.1.0. Released v5.5.0.
% 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
% 0.14/0.35  % Computer : n026.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   : Mon Aug 29 21:34:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (23216)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)
% 0.20/0.52  % (23213)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)
% 0.20/0.52  % (23211)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  % (23211)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (23211)Terminated due to inappropriate strategy.
% 0.20/0.52  % (23211)------------------------------
% 0.20/0.52  % (23211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23211)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (23211)Memory used [KB]: 895
% 0.20/0.52  % (23211)Time elapsed: 0.002 s
% 0.20/0.52  % (23211)Instructions burned: 1 (million)
% 0.20/0.52  % (23211)------------------------------
% 0.20/0.52  % (23211)------------------------------
% 0.20/0.52  % (23214)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)
% 0.20/0.52  % (23227)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)
% 0.20/0.52  % (23222)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)
% 0.20/0.52  % (23212)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)
% 0.20/0.53  % (23237)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (23233)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (23215)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (23219)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (23218)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (23231)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)
% 0.20/0.53  % (23235)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)
% 0.20/0.53  % (23218)Instruction limit reached!
% 0.20/0.53  % (23218)------------------------------
% 0.20/0.53  % (23218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (23218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (23218)Termination reason: Unknown
% 0.20/0.53  % (23218)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (23218)Memory used [KB]: 5500
% 0.20/0.53  % (23218)Time elapsed: 0.078 s
% 0.20/0.53  % (23218)Instructions burned: 7 (million)
% 0.20/0.53  % (23218)------------------------------
% 0.20/0.53  % (23218)------------------------------
% 0.20/0.53  % (23224)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (23223)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (23217)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  % (23240)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  % (23220)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  % (23230)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (23235)First to succeed.
% 0.20/0.54  % (23217)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54  % (23217)Terminated due to inappropriate strategy.
% 0.20/0.54  % (23217)------------------------------
% 0.20/0.54  % (23217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23241)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  % (23235)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (23235)------------------------------
% 0.20/0.54  % (23235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23235)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (23235)Memory used [KB]: 5500
% 0.20/0.54  % (23235)Time elapsed: 0.101 s
% 0.20/0.54  % (23235)Instructions burned: 5 (million)
% 0.20/0.54  % (23235)------------------------------
% 0.20/0.54  % (23235)------------------------------
% 0.20/0.54  % (23208)Success in time 0.182 s
%------------------------------------------------------------------------------