TSTP Solution File: ARI690_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI690_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : n017.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 : Mon May 20 18:48:46 EDT 2024

% Result   : Theorem 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  19 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   52 (   0 atm;  30 fun;  14 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   3 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    c: $int ).

tff(func_def_1,type,
    d: $int ).

tff(func_def_2,type,
    a: $int ).

tff(f256,plain,
    $false,
    inference(subsumption_resolution,[],[f250,f25]) ).

tff(f25,plain,
    a != $product(2,c),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,plain,
    a != $product(2,c),
    inference(flattening,[],[f4]) ).

tff(f4,negated_conjecture,
    ( ~ a = $product(2,c) ),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    a = $product(2,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f250,plain,
    a = $product(2,c),
    inference(backward_demodulation,[],[f27,f248]) ).

tff(f248,plain,
    d = c,
    inference(evaluation,[],[f240]) ).

tff(f240,plain,
    d = $sum(c,0),
    inference(superposition,[],[f139,f29]) ).

tff(f29,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f10,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f10,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f139,plain,
    ! [X0: $int] : ( $sum(c,$sum($uminus(d),X0)) = X0 ),
    inference(evaluation,[],[f124]) ).

tff(f124,plain,
    ! [X0: $int] : ( $sum(0,X0) = $sum(c,$sum($uminus(d),X0)) ),
    inference(superposition,[],[f7,f26]) ).

tff(f26,plain,
    0 = $sum(c,$uminus(d)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,plain,
    0 = $sum(c,$uminus(d)),
    inference(theory_normalization,[],[f2]) ).

tff(f2,axiom,
    $difference(c,d) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).

tff(f7,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f27,plain,
    $product(2,d) = a,
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(2,d) = a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI690_1 : TPTP v8.2.0. Released v6.3.0.
% 0.07/0.16  % 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
% 0.16/0.39  % Computer : n017.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39  % CPULimit   : 300
% 0.16/0.39  % WCLimit    : 300
% 0.16/0.39  % DateTime   : Sun May 19 12:50:53 EDT 2024
% 0.16/0.39  % CPUTime    : 
% 0.16/0.39  This is a TF0_THM_EQU_ARI problem
% 0.16/0.39  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
% 0.71/0.89  % (30363)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 (2995ds/34Mi)
% 0.71/0.89  % (30366)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.71/0.89  % (30364)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 (2995ds/51Mi)
% 0.71/0.89  % (30365)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.71/0.89  % (30367)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 (2995ds/34Mi)
% 0.71/0.89  % (30368)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.71/0.89  % (30369)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 (2995ds/83Mi)
% 0.71/0.89  % (30370)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 (2995ds/56Mi)
% 0.71/0.89  % (30366)Refutation not found, incomplete strategy% (30366)------------------------------
% 0.71/0.89  % (30366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30366)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30366)Memory used [KB]: 956
% 0.71/0.89  % (30366)Time elapsed: 0.003 s
% 0.71/0.89  % (30366)Instructions burned: 2 (million)
% 0.71/0.89  % (30368)Refutation not found, incomplete strategy% (30368)------------------------------
% 0.71/0.89  % (30368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30368)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30368)Memory used [KB]: 955
% 0.71/0.89  % (30368)Time elapsed: 0.003 s
% 0.71/0.89  % (30368)Instructions burned: 3 (million)
% 0.71/0.89  % (30366)------------------------------
% 0.71/0.89  % (30366)------------------------------
% 0.71/0.89  % (30369)Refutation not found, incomplete strategy% (30369)------------------------------
% 0.71/0.89  % (30369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30369)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30369)Memory used [KB]: 957
% 0.71/0.89  % (30368)------------------------------
% 0.71/0.89  % (30368)------------------------------
% 0.71/0.89  % (30369)Time elapsed: 0.003 s
% 0.71/0.89  % (30369)Instructions burned: 3 (million)
% 0.71/0.89  % (30370)Refutation not found, incomplete strategy% (30370)------------------------------
% 0.71/0.89  % (30370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30370)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30370)Memory used [KB]: 956
% 0.71/0.89  % (30370)Time elapsed: 0.003 s
% 0.71/0.89  % (30370)Instructions burned: 3 (million)
% 0.71/0.89  % (30363)Refutation not found, incomplete strategy% (30363)------------------------------
% 0.71/0.89  % (30363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30363)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30363)Memory used [KB]: 974
% 0.71/0.89  % (30370)------------------------------
% 0.71/0.89  % (30370)------------------------------
% 0.71/0.89  % (30363)Time elapsed: 0.004 s
% 0.71/0.89  % (30363)Instructions burned: 3 (million)
% 0.71/0.89  % (30369)------------------------------
% 0.71/0.89  % (30369)------------------------------
% 0.71/0.89  % (30363)------------------------------
% 0.71/0.89  % (30363)------------------------------
% 0.71/0.89  % (30371)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 (2995ds/55Mi)
% 0.71/0.89  % (30373)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.71/0.89  % (30372)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.71/0.89  % (30374)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.71/0.89  % (30375)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.71/0.89  % (30372)Refutation not found, incomplete strategy% (30372)------------------------------
% 0.71/0.89  % (30372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (30372)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (30372)Memory used [KB]: 956
% 0.71/0.89  % (30372)Time elapsed: 0.003 s
% 0.71/0.89  % (30372)Instructions burned: 3 (million)
% 0.71/0.89  % (30372)------------------------------
% 0.71/0.89  % (30372)------------------------------
% 0.71/0.90  % (30375)Refutation not found, incomplete strategy% (30375)------------------------------
% 0.71/0.90  % (30375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90  % (30375)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90  
% 0.71/0.90  % (30375)Memory used [KB]: 958
% 0.71/0.90  % (30375)Time elapsed: 0.003 s
% 0.71/0.90  % (30375)Instructions burned: 3 (million)
% 0.71/0.90  % (30375)------------------------------
% 0.71/0.90  % (30375)------------------------------
% 0.71/0.90  % (30365)First to succeed.
% 0.71/0.90  % (30365)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30362"
% 0.71/0.90  % (30365)Refutation found. Thanks to Tanya!
% 0.71/0.90  % SZS status Theorem for theBenchmark
% 0.71/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.90  % (30365)------------------------------
% 0.71/0.90  % (30365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90  % (30365)Termination reason: Refutation
% 0.71/0.90  
% 0.71/0.90  % (30365)Memory used [KB]: 1081
% 0.71/0.90  % (30365)Time elapsed: 0.010 s
% 0.71/0.90  % (30365)Instructions burned: 15 (million)
% 0.71/0.90  % (30362)Success in time 0.496 s
% 0.71/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------