TSTP Solution File: NUM670_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Tue May 21 01:44:32 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  19 unt;   6 typ;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (  23   !;   2   ?;  25   :)

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

tff(func_def_0,type,
    x: nat ).

tff(func_def_1,type,
    y: nat ).

tff(func_def_2,type,
    z: nat ).

tff(func_def_3,type,
    pl: ( nat * nat ) > nat ).

tff(func_def_6,type,
    sK0: nat ).

tff(f69,plain,
    $false,
    inference(trivial_inequality_removal,[],[f66]) ).

tff(f66,plain,
    pl(x,z) != pl(x,z),
    inference(superposition,[],[f44,f30]) ).

tff(f30,plain,
    ! [X0: nat] : ( pl(y,pl(sK0,X0)) = pl(x,X0) ),
    inference(superposition,[],[f20,f23]) ).

tff(f23,plain,
    x = pl(y,sK0),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    x = pl(y,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: nat] : ( x = pl(y,X0) )
   => ( x = pl(y,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: nat] : ( x = pl(y,X0) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ! [X0: nat] : ( x != pl(y,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).

tff(f20,plain,
    ! [X2: nat,X0: nat,X1: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: nat,X1: nat,X2: nat] : ( pl(pl(X0,X1),X2) = pl(X0,pl(X1,X2)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X2: nat,X3: nat,X4: nat] : ( pl(pl(X2,X3),X4) = pl(X2,pl(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz5) ).

tff(f44,plain,
    ! [X0: nat] : ( pl(x,z) != pl(y,pl(X0,z)) ),
    inference(superposition,[],[f36,f21]) ).

tff(f21,plain,
    ! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X2: nat,X3: nat] : ( pl(X2,X3) = pl(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6) ).

tff(f36,plain,
    ! [X0: nat] : ( pl(x,z) != pl(y,pl(z,X0)) ),
    inference(superposition,[],[f19,f20]) ).

tff(f19,plain,
    ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
    inference(flattening,[],[f6]) ).

tff(f6,negated_conjecture,
    ~ ~ ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
    inference(negated_conjecture,[],[f5]) ).

tff(f5,conjecture,
    ~ ! [X0: nat] : ( pl(x,z) != pl(pl(y,z),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 06:09:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TX0_THM_EQU_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74  % (18367)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.75  % (18367)Refutation not found, incomplete strategy% (18367)------------------------------
% 0.56/0.75  % (18367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18367)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18367)Memory used [KB]: 951
% 0.56/0.75  % (18367)Time elapsed: 0.002 s
% 0.56/0.75  % (18367)Instructions burned: 2 (million)
% 0.56/0.75  % (18367)------------------------------
% 0.56/0.75  % (18367)------------------------------
% 0.56/0.75  % (18362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.75  % (18360)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.75  % (18364)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.75  % (18365)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.75  % (18361)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.75  % (18363)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.75  % (18366)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.75  % (18364)Refutation not found, incomplete strategy% (18364)------------------------------
% 0.56/0.75  % (18364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18360)Refutation not found, incomplete strategy% (18360)------------------------------
% 0.56/0.75  % (18360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18360)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18360)Memory used [KB]: 966
% 0.56/0.75  % (18360)Time elapsed: 0.003 s
% 0.56/0.75  % (18360)Instructions burned: 2 (million)
% 0.56/0.75  % (18364)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18364)Memory used [KB]: 967
% 0.56/0.75  % (18363)Refutation not found, incomplete strategy% (18363)------------------------------
% 0.56/0.75  % (18363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18364)Time elapsed: 0.003 s
% 0.56/0.75  % (18364)Instructions burned: 2 (million)
% 0.56/0.75  % (18363)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18363)Memory used [KB]: 954
% 0.56/0.75  % (18363)Time elapsed: 0.003 s
% 0.56/0.75  % (18363)Instructions burned: 2 (million)
% 0.56/0.75  % (18360)------------------------------
% 0.56/0.75  % (18360)------------------------------
% 0.56/0.75  % (18364)------------------------------
% 0.56/0.75  % (18364)------------------------------
% 0.56/0.75  % (18363)------------------------------
% 0.56/0.75  % (18363)------------------------------
% 0.56/0.75  % (18368)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.75  % (18362)First to succeed.
% 0.56/0.75  % (18362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18206"
% 0.56/0.75  % (18368)Also succeeded, but the first one will report.
% 0.56/0.75  % (18362)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for theBenchmark
% 0.56/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75  % (18362)------------------------------
% 0.56/0.75  % (18362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18362)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (18362)Memory used [KB]: 1052
% 0.56/0.75  % (18362)Time elapsed: 0.005 s
% 0.56/0.75  % (18362)Instructions burned: 6 (million)
% 0.56/0.75  % (18206)Success in time 0.386 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------