TSTP Solution File: ARI695_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI695_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 18:48:47 EDT 2024

% Result   : Theorem 0.51s 0.72s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  22 unt;   3 typ;   0 def)
%            Number of atoms       :   22 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   13 (  13   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number arithmetic     :  174 (   0 atm; 103 fun;  60 num;  11 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (   2 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?;  11   :)

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

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

tff(pred_def_2,type,
    sP0: $int > $o ).

tff(f55,plain,
    $false,
    inference(subsumption_resolution,[],[f54,f25]) ).

tff(f25,plain,
    sP0(0),
    inference(inequality_splitting,[],[f23,f24]) ).

tff(f24,plain,
    ~ sP0($sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c)))))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

tff(f23,plain,
    0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ( ~ 0 = $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ~ $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) = 0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

tff(f54,plain,
    ~ sP0(0),
    inference(backward_demodulation,[],[f33,f47]) ).

tff(f47,plain,
    ! [X0: $int] : ( 0 = $product(0,X0) ),
    inference(superposition,[],[f15,f18]) ).

tff(f18,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(theory_axiom_149,[]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f33,plain,
    ~ sP0($product(0,d)),
    inference(evaluation,[],[f32]) ).

tff(f32,plain,
    ~ sP0($product(-1,$product(d,0))),
    inference(forward_demodulation,[],[f31,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f31,plain,
    ~ sP0($product(-1,$product(d,$sum(c,$uminus(c))))),
    inference(evaluation,[],[f30]) ).

tff(f30,plain,
    ~ sP0($product(-1,$product(d,$sum($sum(2,c),$sum(-2,$uminus(c)))))),
    inference(forward_demodulation,[],[f29,f19]) ).

tff(f19,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f29,plain,
    ~ sP0($product(-1,$sum($product(d,$sum(2,c)),$product(d,$sum(-2,$uminus(c)))))),
    inference(forward_demodulation,[],[f28,f19]) ).

tff(f28,plain,
    ~ sP0($sum($product(-1,$product(d,$sum(2,c))),$product(-1,$product(d,$sum(-2,$uminus(c)))))),
    inference(forward_demodulation,[],[f27,f16]) ).

tff(f16,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f27,plain,
    ~ sP0($sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum(-2,$uminus(c)))))),
    inference(evaluation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : ARI695_1 : TPTP v8.2.0. Released v6.3.0.
% 0.05/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n004.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 13:30:22 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TF0_THM_EQU_ARI problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72  % (20327)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)
% 0.51/0.72  % (20329)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.72  % (20330)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)
% 0.51/0.72  % (20328)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)
% 0.51/0.72  % (20331)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)
% 0.51/0.72  % (20332)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)
% 0.51/0.72  % (20333)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)
% 0.51/0.72  % (20334)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)
% 0.51/0.72  % (20327)Refutation not found, incomplete strategy% (20327)------------------------------
% 0.51/0.72  % (20327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (20327)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (20327)Memory used [KB]: 975
% 0.51/0.72  % (20327)Time elapsed: 0.002 s
% 0.51/0.72  % (20327)Instructions burned: 4 (million)
% 0.51/0.72  % (20334)Refutation not found, incomplete strategy% (20334)------------------------------
% 0.51/0.72  % (20334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (20334)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (20334)Memory used [KB]: 956
% 0.51/0.72  % (20334)Time elapsed: 0.003 s
% 0.51/0.72  % (20334)Instructions burned: 3 (million)
% 0.51/0.72  % (20327)------------------------------
% 0.51/0.72  % (20327)------------------------------
% 0.51/0.72  % (20332)Refutation not found, incomplete strategy% (20332)------------------------------
% 0.51/0.72  % (20332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (20332)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (20332)Memory used [KB]: 958
% 0.51/0.72  % (20334)------------------------------
% 0.51/0.72  % (20334)------------------------------
% 0.51/0.72  % (20332)Time elapsed: 0.003 s
% 0.51/0.72  % (20332)Instructions burned: 3 (million)
% 0.51/0.72  % (20332)------------------------------
% 0.51/0.72  % (20332)------------------------------
% 0.51/0.72  % (20335)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)
% 0.51/0.72  % (20336)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 (2996ds/50Mi)
% 0.51/0.72  % (20335)First to succeed.
% 0.51/0.72  % (20335)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20326"
% 0.51/0.72  % (20337)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 (2996ds/208Mi)
% 0.51/0.72  % (20336)Refutation not found, incomplete strategy% (20336)------------------------------
% 0.51/0.72  % (20336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (20336)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72  
% 0.51/0.72  % (20336)Memory used [KB]: 960
% 0.51/0.72  % (20336)Time elapsed: 0.003 s
% 0.51/0.72  % (20336)Instructions burned: 3 (million)
% 0.51/0.72  % (20335)Refutation found. Thanks to Tanya!
% 0.51/0.72  % SZS status Theorem for theBenchmark
% 0.51/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.72  % (20335)------------------------------
% 0.51/0.72  % (20335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (20335)Termination reason: Refutation
% 0.51/0.72  
% 0.51/0.72  % (20335)Memory used [KB]: 1063
% 0.51/0.72  % (20335)Time elapsed: 0.003 s
% 0.51/0.72  % (20335)Instructions burned: 5 (million)
% 0.51/0.72  % (20326)Success in time 0.386 s
% 0.51/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------